Answer:[tex]\boxed{\bold{True}}[/tex][tex]\boxed{\bold{True}}[/tex]Step By Step Explanation:Equation One:Multiply Both Sides By One (Reverse The Inequality)[tex]\bold{\left(-\frac{2}{5}x\right)\left(-1\right)<\left(-8\right)\left(-1\right)}[/tex]Simplify[tex]\bold{\frac{2}{5}x<8}[/tex]Multiply Both Sides By 5[tex]\bold{5\cdot \frac{2}{5}x<8\cdot \:5}[/tex]Simplify[tex]\bold{2x<40}[/tex]Divide Both Sides By 2[tex]\bold{\frac{2x}{2}<\frac{40}{2}}[/tex]Simplify[tex]\bold{x<20}[/tex]-------Equation Two:Subtract [tex]\bold{\frac{3}{4} }[/tex] From Both Sides[tex]\bold{-x+\frac{3}{4}-\frac{3}{4}<10-\frac{3}{4}}[/tex]Simplify[tex]\bold{-x<\frac{37}{4}}[/tex]Multiply Both Sides By -1 (Reverse The Inequality)[tex]\bold{\left(-x\right)\left(-1\right)>\frac{37\left(-1\right)}{4}}[/tex]Simplify[tex]\bold{x>-\frac{37}{4}}[/tex]