Question

Solve the inequality. Write your final answer in interval notation.
5x + 2 > 7x - 1

Answer 1

x = 1.5

Explanation:

5x + 2 > 7x - 1

5x -7x = -1 -2 (move the terms to the same side, but change the sign on the term being transferred)

-2x = -3 (divide by -2 on both sides)

x = 1.5

Answer 2

Hello there!

In this scenario, we are solving the inequality.

What this means is that we would need to get x on one side in order to figure out what x is.

Solve:

5x + 2 > 7x - 1

Subtract 7x from both sides

-2x + 2 > -1

Subtract 2 on both sides

-2x > -3

Divide both sides by -2. Flip the inequality since you're dividing by a negative

x < 3/2

In interval notation it would be:

( -∞ , 3/2) or ( -∞ , 1.5)

Answer: x < 3/2 or x < 1.5

Interval notation: ( -∞ , 1.5) or ( -∞ , 1.5)

I hope this helps!

Best regards,

MasterInvestor