Question

Solve the compound inequality.
5
3x>4or - 5/6x - 3>4
-

Answer 1

you missed it. again!

x > 12/5 or x < -42/5

Answer 2

The compound inequality is: 3x > 4 or -5/6x - 3 > 4

Let's solve each inequality separately:

For the first inequality, 3x > 4:

Divide both sides by 3:
x > 4/3

For the second inequality, -5/6x - 3 > 4:

Add 3 to both sides:
-5/6x > 7

Multiply both sides by -6/5 (remembering to flip the inequality sign since we are multiplying by a negative number):
x < -42/5

So the solution to the compound inequality is:
x > 4/3 or x < -42/5

Answer 3

Apologies for the previous mistake.

The correct solution to the compound inequality 3x > 4 or -5/6x - 3 > 4 is:

For the first inequality, 3x > 4:

Divide both sides by 3:
x > 4/3

For the second inequality, -5/6x - 3 > 4:

Add 3 to both sides:
-5/6x > 7

Multiply both sides by -6/5 (remembering to flip the inequality sign since we are multiplying by a negative number):
x < -42/5

So the correct solution to the compound inequality is:
x > 4/3 or x < -42/5