Question

Choose an appropriate value of x that makes each inequality true.

x + 12
8 < 2

Answer 1

wrong

Answer 2

Choose an appropriate value of x that makes each inequality true.Solve each one
16 > 5x – 9
6 > 2x + 10
14x – 12 ≥ 2
6 + 5x ≤ 11

Answer 3

To make the inequality true, we need to find a value of x that makes the expression on the left side of the inequality less than 2.

x + 12 < 2

Subtracting 12 from both sides:
x < 2 - 12
x < -10

Therefore, any value of x that is less than -10 will make the inequality true. For example, x = -11, x = -15, or x = -100.

Answer 4

Apologies for the mistake. Let's correct it.

The correct inequality is: x + 12 < 8

To make the inequality true, we need to find a value of x that makes the expression on the left side of the inequality less than 8.

Subtracting 12 from both sides:
x < 8 - 12
x < -4

Therefore, any value of x that is less than -4 will make the inequality true. For example, x = -5, x = -10, or x = -100.

Answer 5

Let's solve each inequality separately:

1. 16 > 5x - 9

Adding 9 to both sides:
25 > 5x

Dividing both sides by 5:
5 > x

So, any value of x that is less than 5 will make the inequality true.

2. 6 > 2x + 10

Subtracting 10 from both sides:
-4 > 2x

Dividing both sides by 2 (and reversing the inequality):
-2 > x

So, any value of x that is less than -2 will make the inequality true.

3. 14x - 12 ≥ 2

Adding 12 to both sides:
14x ≥ 14

Dividing both sides by 14:
x ≥ 1

So, any value of x that is greater than or equal to 1 will make the inequality true.

4. 6 + 5x ≤ 11

Subtracting 6 from both sides:
5x ≤ 5

Dividing both sides by 5:
x ≤ 1

So, any value of x that is less than or equal to 1 will make the inequality true.