Solve using the multiplication principle. -$30 x - 5 5 ( 5 x - 4 )$ A) $\{ x \mid x \leq - 3 \}$ B) $\{ x \mid x - 3 \}$ D) $\{ x \mid x \geq - 3 \}$

Question

Solve using the multiplication principle.
-$30 x - 5 > 5 ( 5 x - 4 )$
A) $\{ x \mid x \leq - 3 \}$
B) $\{ x \mid x < - 3 \}$
C) $\{ x \mid x > - 3 \}$
D) $\{ x \mid x \geq - 3 \}$

Quizplus · Accepted Answer

First, distribute the 5 on the right side of the inequality: $30x - 5 > 25x - 20$. Then, subtract 25x from both sides: $5x - 5 > -20$. Add 5 to both sides: $5x > -15$. Finally, divide by 5: $x > -3$.

Solve Using the Multiplication Principle 30x−5>5(5x−4)30 x - 5 > 5 ( 5 x - 4 )30x−5>5(5x−4)

Solve Using the Multiplication Principle $30 x - 5 > 5 ( 5 x - 4 )$