Question

For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4

Answer 1

Given:

Given the inequalities:4

$\begin{gathered} 4x+3>0 \\ 9x-5$

Required: Identify the inequality in which x = 8 is a solution.

Explanation:

Substitute 8 for x in each inequality and check whether it satisfies the inequality.

Consider 4x + 3 > 0.

$4\cdot8+3=35>0$

So, x = 8 satisfies the inequality 4x + 3 > 0.

Consider 9x - 5 < 100.

$9\cdot8-5=67$

So, x = 8 satisfies the inequality 9x - 5 < 100.

Consider x + 4 ≤ 10.

$8+4=12>10$

So, x = 8 not satisfies the inequality.

Consider 72 ÷ x ≥ 4.

$72\div8=9\ge4$

So, x = 8 satisfies the inequality.

Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.