Question

Solve the inequality. −2x+3>x−18 Enter the exact answer in interval notation.

Answer 1

Step 1

Given;

`-2x+3>x-18`

Required; To solve the inequality

Step 2

Bring like terms together

`-2x-x>-18-3`

Step 3

Simplify

`-3x>-21`

Step 4

Multiply both sides by -1

`-3x(-1)<-21(-1)_{}`

Step 5

Simplify

`3x<21`

Step 6

Divide by 3 and get the answer

`\begin{gathered} (3x)/(3)<(21)/(3) \\ x<7 \\ In\text{ in}terval\text{ notation;} \\ (-\infty,7) \end{gathered}`

Hence, the exact answer in interval notation is;

(-∞,7)