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Question
applications of inequalities practice
complete this assessment to review what youve learned. it will not count toward your grade.
ten less than twice a number is equal to at most 52. what are all the possible values of the number? first, write the inequality ( 2x - 10 leq 52 ), where ( x ) equals the number, to help solve this problem. solve this inequality. use the letter ( x ) as your variable and write your ( x )-term first.
note: you will find the option to add a ( > ), ( < ), ( geq ), or ( leq ) symbol in the comparison (<) keyboard.
(1 point)
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Step1: Isolate the x-term
Add 10 to both sides of the inequality.
$2x - 10 + 10 \leq 52 + 10$
Simplify to get: $2x \leq 62$
Step2: Solve for x
Divide both sides by 2.
$\frac{2x}{2} \leq \frac{62}{2}$
Simplify to get: $x \leq 31$
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$x \leq 31$