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25-2x≤5(2-x) pls solve w/ steps ​

User AlfaZulu
by
7.1k points

2 Answers

2 votes

Answer:

-5 ≥ x or x ≤ -5

Explanation:

25 - 2x ≤ 5(2 - x)

distribute the 5 to eliminate the parentheses:

25 - 2x ≤ 10 - 5x

now combine like terms:

15 - 2x ≤ -5x

15 ≤ -3x

-5 ≥ x or x ≤ -5

the inequality symbol gets switched whenever you multiply or divide by a negative value

User Flowryn
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7.5k points
3 votes

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.

User Thom A
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7.2k points