Question

Which value is a solution of the inequalityx∕5 + 2 ≤ 6?

A) 
x = 49

B) 
x = 15

C) 
x = 37

D) 
x = 21

​

Answer 1

B. x = 15

Explanation:

1. Firstly we simplify the inequality, so we have x on the left side, and every number on the right side
2. 
   `(x)/(5)+2\leq 6\\ (x)/(5)+2-(2)\leq 6-(2)` so we take away 2 on both sides
3. 
   `(x)/(5)\leq 4` now this is the same as
   `(1)/(5)*x\leq 4`
4. Now we multiply by 5 on both sides
5. 
   `5*(1)/(5)*x\leq 5*4` which is
   `(5)/(5)*x \leq 20` which is simply
   `x \leq 20` since 5 divide by 5 is 1 and 1 times x is x
6. So the inequality
   `x \leq 20` means "every number for x that is less than or equal to 20"
7. Now from the list, the only number that fits is 15. So that's our answer

Answer 2

B

Step-by-step explanation

the answer comes to
`x\leq 20` and 15 is the only answer below 20