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

z<2

That is the answer.

Explanation:

Answer 2

`z<2`

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\\(-2z)/(-2)< (-4)/(-2)\\\\$Therefore, $z<2`