Answer:
Divide both sides of the inequality by -2:
[tex]\frac{-2x}{-2}>\frac{18}{-2}\\\\x>-9[/tex]
Step-by-step explanation:
The Division property of Inequality states that:
[tex]If\ c>0\ and\ a>b,then\ \frac{a}{c}> \frac{b}{c}\\\\If\ c>0\ and\ a<b,then\ \frac{a}{c}< \frac{b}{c}\\\\\\If\ c<0\ and\ a>b,then\ \frac{a}{c}< \frac{b}{c}\\\\If\ c<0\ and\ a<b,then\ \frac{a}{c}>\frac{b}{c}[/tex]
Therefore, given the inequality:
[tex]4(x - 3) + 4 < 10 + 6x[/tex]
The missing step in solving it, applying the Division property of inequality, is divide both sides of the inequality by -2:
[tex]\frac{-2x}{-2}>\frac{18}{-2}\\\\x>-9[/tex]
