Question

write and solve the inequality. nine less than the product of a number n and \\(\frac{1}{4}\\) is no more than 95. fill in the boxes. (type integers or fractions.) enter your answer in the edit fields and then click check answer.

Explanation:

Step1: Translate to inequality

$\frac{1}{4}n - 9 \leq 95$

Step2: Add 9 to both sides

$\frac{1}{4}n - 9 + 9 \leq 95 + 9$
$\frac{1}{4}n \leq 104$

Step3: Multiply by 4 on both sides

$\frac{1}{4}n \times 4 \leq 104 \times 4$
$n \leq 416$

Answer:

The filled boxes are:
$\boldsymbol{\frac{1}{4}}$ $\boldsymbol{-}$ $\boldsymbol{\leq}$
$\boldsymbol{\frac{1}{4}}$ $\boldsymbol{\leq}$
$\boldsymbol{\leq}$ $\boldsymbol{416}$

Final solution: $\boldsymbol{n \leq 416}$