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]
