Solve for x. and show your work.

-3x+5 less than or equal to -22

Note:where it says "less than or equal to" its the less than or equal to sign. Please help me!

-3x + 5 <or = -22

Subtract 5 from both sides.

Divide both sides by -3

When you divide by a negative, you have to switch the inequality which will give you > or equal to

Okay thank you so much John! :-)

3k is less than 9 solve for k

i have been working on this for two hours!!!!

To solve for x in the inequality -3x + 5 ≤ -22, we need to isolate the variable x. Here's the step-by-step process:

Step 1: Subtract 5 from both sides of the inequality:
-3x + 5 - 5 ≤ -22 - 5
-3x ≤ -27

Step 2: Divide both sides of the inequality by -3. Note that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be reversed:
(-3x) / -3 ≥ (-27) / -3
x ≥ 9

Therefore, the solution to the inequality -3x + 5 ≤ -22 is x ≥ 9.

To verify this solution, substitute any value greater than or equal to 9 for x into the original inequality and check if it holds true. For example, let's try x = 10:

-3(10) + 5 ≤ -22
-30 + 5 ≤ -22
-25 ≤ -22

Since -25 is less than or equal to -22, the solution x = 10 satisfies the original inequality.