Respuesta :

Assignment: [tex]\bold{Solve \ Equation: \ -2x+5<13}[/tex]

<><><><><><><>

Answer: [tex]\boxed{\bold{x>-4}}[/tex]

<><><><><><><>

Explanation: [tex]\downarrow\downarrow\downarrow[/tex]

<><><><><><><>

[ Step One ] Subtract 5 From Both Sides

[tex]\bold{-2x+5-5<13-5}[/tex]

[ Step Two ] Simplify

[tex]\bold{-2x<8}[/tex]

[ Step Three ] Multiply Both Sides By -1 (Reverse Inequality)

[tex]\bold{\left(-2x\right)\left(-1\right)>8\left(-1\right)}[/tex]

[ Step Four ] Simplify

[tex]\bold{2x>-8}[/tex]

[ Step Five ] Divide Both Sides By 2

[tex]\bold{\frac{2x}{2}>\frac{-8}{2}}[/tex]

[ Step Six ] Simplify

[tex]\bold{x>-4}[/tex]

<><><><><><><>

[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]