Question

An inequality is shown.

2x - 5 < 33
​Select all the values that are solutions to this inequality.

A.28
B.26
C.19
D.18
E.12

Answer 1

To solve the inequality 2x - 5 < 33, we can add 5 to both sides to isolate the variable:

2x - 5 + 5 < 33 + 5

2x < 38

Next, we divide both sides by 2 to obtain the value of x:

2x/2 < 38/2

x < 19

Therefore, any value of x that is less than 19 is a solution to this inequality. Among the given values, only 12 and 18 are less than 19. So, the solutions to the inequality are:

E. 12

D. 18