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Part 1
What are the solutions of ​7x+24>2x-1?

1 answer

To find the solutions of the inequality 7x + 24 > 2x - 1, we need to isolate the variable on one side of the inequality sign.

First, let's subtract 2x from both sides of the equation:
7x + 24 - 2x > 2x - 1 - 2x
5x + 24 > -1

Next, let's subtract 24 from both sides of the equation:
5x + 24 - 24 > -1 - 24
5x > -25

Finally, divide both sides of the inequality by 5:
(5x)/5 > (-25)/5
x > -5

Therefore, the solutions of the inequality 7x + 24 > 2x - 1 are all real numbers greater than -5.