11x1 t01 06 equations & inequations (2011)
TRANSCRIPT
Equations/Inequations
Equations/InequationsMake the pronumeral the subject of the formula
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x 3x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z
3x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
3 9 10 30x x
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
3 9 10 30x x
7 39x 397
x
The inequality sign will only change when:
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x 2 1x
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x 2 1x
-2 1
The “correct” way of writing inequalities
The “correct” way of writing inequalities
4 5 6
The “correct” way of writing inequalities
4 5 65x
The “correct” way of writing inequalities
4 5 65x
5NOT x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 6
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 6
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
4 6NOT x
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
4 6NOT x
Exercise 1F; 3acdijm, 4afkp,5behlp, 6acf, 7bcegh, 8aceg,
9bdfhj, 10a, 11*