Question

Can someone solve the inequality? 6x-2(x+2)>2-3(x+3)

Answer 1

Answer:

$x = 0.24...$

As calculated in the photo above

Answer 2

Answer:

$x > -\frac{3}{7}$

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

• $6x-2(x+2)>2-3(x+3)$
• $6x -2x -4 > 2 -3x -9$
• $4x - 4 > -3x - 7$

Step 2: Add 3x to both sides.

• $4x - 4 + 3x > -3x - 7 + 3x$
• $7x - 4 > -7$

Step 3: Add 4 to both sides.

• $7x - 4 + 4 > -7 + 4$
• $7x > - 3$

Step 4: Divide both sides by 7.

• $\frac{7x}{7} > \frac{-3}{7}$
• $x > -\frac{3}{7}$