Q:

What is the missing step in solving the inequality 4(x – 3) + 4 = 10 +6X?1. The distributive property: 4x - 12 + 4 < 10 + 6x2. Combine like terms: 4x -8 <10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: -2x < 185. The division property of inequalityxs-9OX-9

Accepted Solution

A:
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]