Question

Solve for x. -25x plus 175 is greater then 225 and 5X -83 is greater then or equal to -73

Answer 1

The solutions are:

x < -2

x ≥ 2

Explanation:

Let's solve each inequality separately:

-25x + 175 > 225

Subtract 175 from both sides:

-25x > 225 - 175

-25x > 50

Now, divide both sides by -25. Remember that when you divide by a negative number, you need to reverse the inequality sign:

x < 50 / -25

x < -2

5x - 83 ≥ -73

Add 83 to both sides:

5x ≥ -73 + 83

5x ≥ 10

Now, divide both sides by 5:

x ≥ 10 / 5

x ≥ 2

So, the solutions are:

x < -2

x ≥ 2