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]