Question

Solve the inequality. 4x−10≤14 Enter the exact answer in interval notation.

Answer 1

Hello

To solve this question, we would write it out in steps

Step 1

$\begin{gathered} 4x-10\le14 \\ \end{gathered}$

Step 2

Add 10 to both sides

$\begin{gathered} 4x-10+10\le14+10 \\ 4x\le24 \end{gathered}$

Step 3

Simplify and divde both sides by the coefficient of x

$\begin{gathered} \frac{4x}{4}\le\frac{24}{4} \\ x\le6 \end{gathered}$

The interval notation is given as

$(-\infty,6)$

From the calculations above, the answer to the question is given above