Question

Solve the inequality - 2w +7 > 3w+5.
The solution is ________​

Answer 1

w < 2/5

Explanation:

- 2w +7 > 3w + 5

• First, we will subtract 7 on both sides

-2w + 7 - 7 > 3w + 5 - 7

-2w > 3w - 2

• Next, we will subtract 3w on both sides

-2w - 3w > 3w - 3w - 2

-5w > -2

• Divide by 5 on both sides

-5/5w > -2/5

-w > -2/5

• Since we're dividing by a negative number, we have to flip the inequality sign

w < 2/5