2 question for math

Question

Question 1: Substitute the value into the variable. State whether the number sentence is true or false. If false, find a value that would result in a true number sentence

x + 15 <22 if x=9

4y =12 if y=3

20 <5h if h=4

Question 2 :

162e 5) h5>2

a.  e=9 9 a) h=22

b,e=7 7 b) h=55

c.e=5 5 c) h=1010

d. e=3 9 d) h=1515

Answer 1

Substituting 9 in for X creates the number sentence: 9 + 15 <22

to find out if this is true or false, we need to add 9 + 15, which equals 24

the number sentence now becomes 24 < 22

24 is greater than 22, which means the number sentence is false

a number to substitute for X that would make the number sentence true could be 6

6 + 15 < 22

adding 6 to 15 equals 21

21 < 22 is a correct number sentence

substituting 3 for y creates the number sentence 4(3) = 12

we need to simplify the sentence to 4 x 3 = 12

next, we multiply 4 x 3, which equals 12

the number sentence then becomes 12 = 12, which means the number sentence is true

substituting 4 for h creates the number sentence 20 < 5(4)

to simplify the sentence, 20 < 5 x 4

next, multiplying 5 x 4 equals 20

the number sentence now becomes 20 < 20

the number sentence is false since it said 20 is less than 20

a number to substitute for H that would make the number sentence true could be 5

20 < 5(5)

20 < 5 x 5

5 x 5 equals 25

20 < 25 is a true number sentence

Answer 2

Substituting 9 into the first inequality, we get: 9 + 15 < 22

Since 9 + 15 equates to 24, then the equation is false.

To make the equation true, you would need the value of x to be less than 7; therefore 6, 5, 4, 3...would all be correct.

For the second part we would substitute 3 into the equation and we get: 4(3) = 12; and since you multiply whatever is in the parentheses by what is adjacent, you would write: 4 x 3; and since 4 x 3 equals 12, we have equal values on each side of the equation, thus a true statement.

For the third part, we substitute 4 into the inequality and get: 20 < 5(4).

By simplifying the right side, we get 5 x 4 = 20.

Substituting that value in, our inequality now reads 20 < 20. This is an untrue statement.

To answer correctly, one would need to substitute any number great than 4; therefore, 5, 6, 7, etc...would make the inequality correct.

I cannot answer the second set of equations as the format looks out of line/space.

Answer 3

This is actually a lot more than just 2 questions, but I'll do my best to answer them all to the best of my ability for you.

Substituting 9 into the first inequality, we get: 9 + 15 < 22

On the left side of the inequality, we have 9 + 15, which equates to 24.

Now, we look at the inequality again, 24 < 22.

This is saying that 24 is less than 22. This is not true and therefore false. A number that would make this inequality true would be any whole number value less than 7. So, x = 6 would be an acceptable answer.

For the second part, we have to substitute 3 into the equation and we get: 4(3) = 12.

On the left side of the equation, we have 4(3) = 4 • 3 = 12.

Now, look at the equation one last time: 12 = 12.

This is saying that 12 is equal to 12. This is true so we are done.

For the third part, we have to substitute 4 into the inequality and we get: 20 < 5(4).

We have to simplify the right side of the inequality: 5(4) = 5 • 4 = 20.

Now, look at the inequality again and it should look like this: 20 < 20.

This is saying that 20 is less than 20. This is not true because 20 is EQUAL to 20 and is therefore false. A number that would make this inequality true is any whole number greater than 4. So, an acceptable answer for h would be 5.

I think you need better formatting for the second question for it to be properly read. If you'd like to resubmit the question or message me with the question reformatted I would be willing to help!