Solve 4(x-1)geq2x+15

$$4 ( x - 1 ) \geq 2 x + 15$$

Solve for x

$$x\geq \frac{19}{2}$$

Solution Steps

Use the distributive property to multiply 4 by x-1.

$$4x-4\geq 2x+15$$

Subtract 2x from both sides.

$$4x-4-2x\geq 15$$

Combine 4x and -2x to get 2x.

$$2x-4\geq 15$$

Add 4 to both sides.

$$2x\geq 15+4$$

Add 15 and 4 to get 19.

$$2x\geq 19$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x\geq \frac{19}{2}$$