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<100 \\ x+4\leq10 \\ 72/ x\ge4 \end{gathered}`

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

Step-by-step 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<100`

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.

`72/8=9\ge4`

So, x = 8 satisfies the inequality.

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