Question

I need help on this question

Answer 1

`-(21)/(2) < x < -5`

Solve the inequality

`-3 < 2x+18 < 8`

Separate compound inequalities into system of inequalities

`\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and`
`2x-18 < 8`

Rearrange variables to the left side of the equation

`2x > -3-18`
`2x < 8-18`

Calculate the sum or difference

`2x > -21`
`2x < -10`

Divide both sides of the inequality by the coefficient of variable

`x > -(21)/(2)`
`x < -(10)/(2)`

Cross out the common factor

`x < -5`

`x > -(21)/(2)\ and\ x < -5`

Find the intersection

`-(21)/(2) < x < -5`

I hope this helps you

:)