Question

Solve for x: 3x − 2 > 5x + 10. (5 points) 1) x > 6 2) x −6

Answer 1

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

Answer 2

Answer:

x < -6

Step-by-step explanation:

I just took the test. When you are dividing by a negative variable, flip the sign.