Question

Which inequality is true for x = 20?

Answer 1

The question is incomplete. Here is the complete question:

Which inequality is true for x = 20?

A. x + 30 < 3x

B. x - 5 < 2x - 35

C. x divided by 4 < x - 12

D. 2x < x + 22

Answer:

Options A, B and D.

Step-by-step explanation:

Given:

The value of 'x' is 20.

In order to find which options are correct, we need to plug in 20 for 'x' in each of the given inequalities and check which of them hold true.

Option A:

$x+30$

Substitute 20 for 'x' in the above inequality. This gives,

$20 + 30 < 3(20)$

$50 < 60$      

The given inequality is true as 50 is less than 60.

Option B:

$x-5$

Substitute 20 for 'x' in the above inequality. This gives,

$20 - 5< 2(20) - 35$

15 < 5

The given inequality is false as 5 is less than 15.

Option C:

$\frac{x}{4}$

Substitute 20 for 'x' in the above inequality. This gives,

$\frac{20}{4} < 20-12$

5 < 8

The given inequality is true as 5 is less than 8.

Option D:

$2x$

Substitute 20 for 'x' in the above inequality. This gives,

$2(20) < 20+22$

40 < 42

The given inequality is true as 40 is less than 42.

Therefore, the correct options are A, B and D.