Question

What is the solution to the inequality below?21x-12x≤ 54O A. x≤5OB. x≤6O C. x≤11OD. x≤9

Answer 1

Given: Inequality

`21x-12x\leq54`

Required: Solution of the inequality.

Explanation:

Solving inequality

`\begin{gathered} 21x-12x\leq54 \\ 9x\leq54 \end{gathered}`

Dividing by 9 on both sides

`\begin{gathered} (9x)/(9)\leq(54)/(9) \\ x\leq6 \end{gathered}`

So

`x\leq6`

Final Answer: Option B is correct.