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} (4x)/(4)\le(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