Answer:
[tex]-\frac{21}{2} < x < -5[/tex]
Solve the inequality
[tex]-3 < 2x+18 < 8[/tex]
Separate compound inequalities into system of inequalities
[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex] [tex]2x-18 < 8[/tex]
Rearrange variables to the left side of the equation
[tex]2x > -3-18[/tex] [tex]2x < 8-18[/tex]
Calculate the sum or difference
[tex]2x > -21[/tex] [tex]2x < -10[/tex]
Divide both sides of the inequality by the coefficient of variable
[tex]x > -\frac{21}{2}[/tex] [tex]x < -\frac{10}{2}[/tex]
Cross out the common factor
[tex]x < -5[/tex]
[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]
Find the intersection
[tex]-\frac{21}{2} < x < -5[/tex]
I hope this helps you
:)
