Question

Solve the inequality:

-
x
4
+ 2 > -3

Select all possible solutions to the inequality from the list below.

21

-21

-20

10

20

19

Answer 1

We can start by isolating the variable x in the inequality:

(x/4) + 2 > -3

(x/4) > -5

Multiplying both sides by -4 (and flipping the inequality since we are multiplying by a negative number) gives:

x < 20

So any value of x that is less than 20 satisfies the inequality. Therefore, the possible solutions from the list below are:

-21

-20

19

Note that 21 and 10 are not solutions to the inequality.