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

Respuesta :

Answer:

[tex]z<2[/tex]

Step-by-step explanation:

Given the inequality: [tex]-2(z + 5) + 20 > 6[/tex]

Step 1: Distribute the bracket

[tex]-2(z + 5) + 20 > 6\\-2z-10+20>6\\-2z+10>6[/tex]

Step 2: Subtract 10 from both sides

[tex]-2z+10-10>6-10\\-2z>-4[/tex]

Step 3: Divide both sides by -2

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

[tex]-2z>-4\\\dfrac{-2z}{-2}< \dfrac{-4}{-2}\\\\$Therefore, $z<2[/tex]

Answer:

z<2

That is the answer.

Step-by-step explanation: