if (-3,y) is a solution to the equation -2x+7y=-8, what is the value for y ?
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3.1 warm-up. If (-3,y) is a solution to the equation -2x+7y=-8, what is the value for y ? a. -6 1 / 2 b. -2 c. - 2 / 7 d. 2. 4. 3.1 warm-up. If (-3,y) is a solution to the equation -2x+7y=-8, what is the value for x ? a. -6 1 / 2 b. -2 c. 2 / 7 d. 2. 4. - PowerPoint PPT PresentationTRANSCRIPT
If (-3,y) is a solution to the equation If (-3,y) is a solution to the equation -2x+7y=-8, what is the value for y ?-2x+7y=-8, what is the value for y ?
a. -6a. -611//22 b. -2b. -2
c. -c. -22//77 d. 2 d. 2
3.1 warm-up
4
If (-3,y) is a solution to the equation -If (-3,y) is a solution to the equation -2x+7y=-8, what is the value for x ?2x+7y=-8, what is the value for x ?
a. -6a. -611//22 b. -2b. -2
c. c. 22//77 d. 2 d. 2
3.1 warm-up
4
2.3 2.3 Deductive Deductive ReasoningReasoning
2.3 2.3 Deductive Deductive ReasoningReasoning
By By
Pardekooper & Pardekooper & MeadowsMeadows
By By
Pardekooper & Pardekooper & MeadowsMeadows
You will use logical reasoning to prove
statements are true. You will also
use deductive reasoning to prove
a statement.
If p → q and p is true, then q is true.
p implies q
If you have a true conditional and the hypothesis is true, then the conclusion is also true.
If two numbers are odd, then their sum is even, and 3 and 5 are
odd.
What conclusion can be drawn, if any?
The sum of 3 and 5 is even.
If it is raining outside, then Mr. Nava has his
umbrella, and Mr. Nava has his
umbrella.What conclusion can
be drawn, if any?It must be raining.
If p If p → → q and qq and q→→ r, then p r, then p →→ r. r.
If p is the hypothesis and q is the conclusion for one conditional and q is the hypothesis with r as the conclusion for a second conditional, then you can draw a conclusion that is a conditional with p as the hypothesis and r as the
conclusion.
If you pass this class, then you study.
If you study, then you have red hair.
Assuming the previous two conditionals are true
statements, what conclusion can you
draw, if any?
If you pass this class, then you have red hair.
If a pet is a dog, then it has 4 legs.
If a pet is a dog, then it barks.
Assuming the previous two conditionals are true
statements, what conclusion can you
draw, if any?
none
Draw a conclusion, if possible, and state the law that applies.
If someone is tall, then their family is tall.
If someone’s family is tall, then they all have big
feet.
If someone is tall, then they have big feet.
Draw a conclusion, if possible, and state the law that applies.
If you are wearing a coat, then it is cold
outside.
The temperature is 57 degrees.
You must be wearing a coat.
Draw a conclusion, if possible, and state the law that applies.
If you read, then you love to dance.
You read one novel every week.
none
2.3 Deductive ReasoningGeometry
Use the Law of Detachment to draw a conclusion.
1. If the football team wins on Friday night, then practice is canceled for Monday.
The football team won by 7 points on Friday night.
Use the Law of Syllogism to draw a conclusion
2. If you like the movie, then you saw a good movie.
If you saw a good movie, then you enjoyed yourself.
If possible, use the Law of Detachment to draw a conclusion. If not possible, write not possible.
3. If Robbie wants to save money to buy a car, he must get a part-time job.
Robbie started a new job yesterday at a grocery store.
Use the Law of Detachment and the Law of Syllogism to draw a conclusion.
4. If it is raining, the temperature is greater than 320F.
If the temperature is greater than 320F, then it is not freezing outside.
It is raining.
5. If you live in Providence, then you live in Rhode Island.
If you live in Rhode Island, then you live in the smallest state in the United States.
Shannon lives in Providence.