Question 747980
4w - 6 > 6w - 20

Add 6 to each side of the inequality.

4w - 6 + 6 > 6w - 20 + 6

Combine like terms:

-6 + 6 = 0

-20 + 6 = -14

We now have:

4w > 6w - 14

Subtract 6w from each side of the inequality.

4w - 6w > 6w - 14 - 6w

Combine like terms:

4w - 6w = -2w

6w - 6w = 0

Therefore:

-2w > -14

Divide each side by -2

w < 7


Answer:

w < 7



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










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