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Question

Part 1
Solve for x.
5(x-5)-6x > -2

Answer 1

To solve the inequality 5(x-5)-6x > -2, we first simplify the expression on the left side:

5(x-5)-6x = 5x - 25 - 6x = -x - 25

Now we rewrite the inequality with the simplified expression:

-x - 25 > -2

Next, we isolate the variable x by subtracting 25 from both sides of the inequality:

-x > -2 + 25
-x > 23

When we multiply or divide by a negative number, we need to flip the direction of the inequality sign. So, we divide both sides by -1:

x < 23

Therefore, the solution to the inequality 5(x-5)-6x > -2 is x < 23.