Answer: X has to be greater than or equal to 15/7 for the inequality to be true.
Explanation:
here are the steps to solve the inequality 25-2x≤5(2-x):
Start by simplifying the right side of the inequality: 5(2-x) = 10 - 5x
Now we can substitute this back into the original inequality: 25 - 2x ≤ 10 - 5x
Next, we need to combine like terms on both sides of the inequality: 25 - 7x ≤ 10
Now we'll add 7x to both sides: 25 ≤ 10 + 7x
Subtract 10 from both sides: 15 ≤ 7x
Finally, divide both sides by 7: 15/7 ≤ x
The solution set is x ≥ 15/7.
So x has to be greater than or equal to 15/7 for the inequality to be true.