Question

URGENT PLEASE HELP Select the correct solution set. x + 17 ≤ -3 {x | x ≤ -20} {x | x ≤ 14} {x | x ≥ -20}

Answer 1

Answer:

The correct answer is the first solution set.

Step-by-step explanation:

If we substitute -20 into the equation we get

-20+17≤-3

-3≤-3

So,the inequality is right.

We can check the second one

14+17≤-3

31≤3 The inequality is false.

We can check the last one

-20+17≤-3

-3≤3 It works however there is a difference between the first one and the last one and that is the sign.For the first one there x≤-20 meaning the greatest number x can be is -20.For the last one x≥-20 which means -20 is the least value x can be.

If we substitude -21 into the equation we get

-21+17≤-3

-4≤-3

The inequality is false because -4 is not smaller than -3.

So,the right answer is the first solution set.