Question

Drag a symbol to the first box and a number to the second box to complete the solution to this inequality. Each number or symbol can be used once or not at all. –2(z + 5) + 20 > 6

Answer 1

Answer:

$z$

Step-by-step explanation:

Given the inequality: $-2(z + 5) + 20 > 6$

Step 1: Distribute the bracket

$-2(z + 5) + 20 > 6\\-2z-10+20>6\\-2z+10>6$

Step 2: Subtract 10 from both sides

$-2z+10-10>6-10\\-2z>-4$

Step 3: Divide both sides by -2

Note that when you divide an inequality by a negative sign, the inequality sign is reversed.

$-2z>-4\\\dfrac{-2z}{-2}< \dfrac{-4}{-2}\\\\ Therefore, z$