Question

consider the following inequality: 2(2z - 4) > -2z - 20 step 1 of 2 : write the solution using interval notation. answer

Explanation:

Step1: Expand the left side

$2(2z - 4)=4z - 8$, so the inequality becomes $4z - 8 > -2z - 20$.

Step2: Add 2z to both sides

$4z + 2z - 8 > -20$, which simplifies to $6z - 8 > -20$.

Step3: Add 8 to both sides

$6z > -20 + 8$, so $6z > -12$.

Step4: Divide both sides by 6

$z > \frac{-12}{6}$, which gives $z > -2$.

Answer:

$(-2, \infty)$