Question 1094170
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Solve |2-3x| <= 5.
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|2-3x| <= 5.


Divide both sides by 3. You will get an equivalent inequality


{{{abs(2/3-x)}}} <= {{{5/3}}}.


The solution set to this inequality is the set of those x that are remoted not farther than {{{5/3}}} units  from the point {{{2/3}}} on the number line, i.e

the set of x,  {{{2/3 - 5/3}}} <= x <= {{{2/3+5/3}}},   or,  which is the same,

-1 <= x <= {{{7/3}}}.


<U>Answer</U>.  The solution set is the segment  [-1,{{{7/3}}}] of the number line.
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