Please help!

What is the solution of 5 - 2x is greater than -3 OR -3x + 9 is less than -6

Thank you

5 - 2x ≥ -3 OR -3x + 9 ≤ -6

-2x ≥ -8 or -3x ≤ -15
x ≤ 4 OR x ≥ 5

I appreciate the explanation-I get it now

To find the solution to the given equation, we need to solve each inequality separately and then combine the solutions.

1) 5 - 2x > -3

To solve this inequality, we need to isolate the variable x. Let's solve it step by step:

a) Subtract 5 from both sides: -2x > -3 - 5
Simplifying, we have: -2x > -8

b) Divide both sides by -2. Remember, when dividing or multiplying by a negative number, we need to reverse the inequality sign:
x < -8 / -2

Simplifying, we have: x < 4

So the first inequality has the solution: x < 4

2) -3x + 9 < -6

To solve this inequality, we will follow a similar process:

a) Subtract 9 from both sides: -3x < -6 - 9
Simplifying, we have: -3x < -15

b) Divide both sides by -3, reversing the inequality sign:
x > -15 / -3

Simplifying, we have: x > 5

So the second inequality has the solution: x > 5

Now, to find the combined solution, we take the union of the individual solutions. In other words, any values of x that satisfy either inequality will be part of the solution.

The combined solution is: x < 4 OR x > 5

This means any value of x that is less than 4 or greater than 5 will make either one of the inequalities true.