Question

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Answer 1

a: \(2+\dfrac{3\left(x+5\right)}{8}>\dfrac{x-1}{4}\)

=>\(2+\dfrac{3}{8}x+\dfrac{15}{8}>\dfrac{1}{4}x-\dfrac{1}{4}\)

=>\(\dfrac{3}{8}x+\dfrac{31}{8}>\dfrac{1}{4}x-\dfrac{1}{4}\)

=>\(\dfrac{1}{8}x>-\dfrac{1}{4}-\dfrac{31}{8}=\dfrac{-33}{8}\)

=>x>-33

b: \(2x-x\left(2x+1\right)< =15-2x\left(x+2\right)\)

=>\(2x-2x^2-x< =15-2x^2-4x\)

=>x<=15-4x

=>5x<=15

=>x<=3