Question 1104966: Solve the following inequality and give its interval notation.
-13≤5-2x≤25 Found 4 solutions by Alan3354, ikleyn, TeachMath, richwmiller:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Solve the following inequality and give its interval notation.
-13 <= 5-2x <= 25
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13 >= -5+2x >= -25 ---- More about that later.
Add 5
18 >= 2x >= -20
Divide by 2
9 >= x >= -10
-10 <= x <= 9
You can put this solution on YOUR website! .
Solve the following inequality and give its interval notation.
-13≤5-2x≤25
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-13 <= 5 - 2x <= 25
Multiply by -1 all terms.
Since you multiply by NEGATIVE number, CHANGE the inequality signs by the opposite.
You will get
-25 <= 2x - 5 <= 13.
Look ONE MORE time on what you get.
Next, add 5 to all parts of this compound inequality. You will get
-20 <= 2x <= 18.
Divide by 2 all the terms. You will get
-10 <= x <= 9.
It is your answer and your solution.
In interval notation it is [-10,9].
You can put this solution on YOUR website! Teachmath and/or maththerapy
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