Question 146058

{{{0.3x+5<=0.7x-8}}} Start with the given inquality.



{{{10(0.3x+5)<=10(0.7x-8)}}} Multiply both sides by 10 to clear out the decimals.



{{{3x+50<=7x-80}}} Distribute and multiply.



{{{3x<=7x-80-50}}} Subtract {{{50}}} from both sides.



{{{3x-7x<=-80-50}}} Subtract {{{7x}}} from both sides.



{{{-4x<=-80-50}}} Combine like terms on the left side.



{{{-4x<=-130}}} Combine like terms on the right side.



{{{x>=(-130)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>=65/2}}} Reduce.



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Answer:


So the answer is {{{x>=65/2}}} 



Which approximates to {{{x>=32.5}}}