Question 751819
-2(4z+5) > -6-4z


-2 * 4z = -8z

-2 * 5 = -10

Therefore:

-8z - 10 > -6 - 4z

Add 10 to each side of the inequality.

-8z - 10 + 10 > -6 - 4z + 10

Combine like terms:

-10 + 10 = 0

-6 + 10 = 4

We now have:

-8z > 4 - 4z

Add 4z to each side of the inequality.

-8z + 4z > 4 - 4z + 4z

Combine like terms:

-8z + 4z = -4z

-4z + 4z = 0

Therefore:

-4z > 4

Divide each side by -4

z < -1



Please note: When you divide an inequality by a negative number you flip (change) the inequality sign.


Answer:

z < -1











Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com