Question

For the given value, indicates whether the inequality is true or false.

4. 13 - x< 4; x = 9

5. 45 < 2x - 5; x = 20

Answer 1

Both false

Explanation:

4.

Substitute 9 in for x in the inequality

13 - x< 4

13 - 9< 4

Subtract

4< 4

4 is not less than 4, but is equal, so this is false.

5.

Substitute 20 in for x in the inequality

45 < 2x - 5

45 < 2(20) - 5

Multiply

45 < 40 - 5

Subtract

45 < 35

Since 35 is not greater than 45, this is false.

Answer 2

4. False

5. False

Explanation:

4. Plug in 9 for x in the inequality:

13 - 9 < 4

4 < 4

We see that 4 is actually not less than 4, but is equal. So, this inequality is FALSE.

5. Plug in 20 for x in the inequality:

45 < 2 * 20 - 5

45 < 40 - 5

45 < 35

Obviously, 45 is larger than 35, so this is also FALSE.

Hope this helps!