Question

In this inequality, which of the following numbers could NOT be a possible replacement for x?

2x - 32 < -4 (-2 * 3)
a) 4
b) 12
c) 8
d) 28

Answer 1

In the inequality 2x - 32 < -4, the only given option that could NOT be a replacement for x is 28 because when the inequality is solved (2x < 28), the solution shows x must be less than 14.

Step-by-step explanation:

The question asks which number could NOT be a possible replacement for x in the inequality 2x - 32 < -4. To find the values of x that satisfy the inequality, we first need to isolate x. We can start by adding 32 to both sides of the inequality:

2x - 32 + 32 < -4 + 32

2x < 28

Now, we divide both sides of the inequality by 2 to solve for x:

x < 14

The inequality now expresses that x must be less than 14. Within the options provided, the only number that is not less than 14 is option (d) 28. Therefore, 28 is the number that could NOT be a possible replacement for x.