Solve 6x-1geq2(x-5)+1

$$6 x - 1 \geq 2 ( x - 5 ) + 1$$

Solve for x

$$x\geq -2$$

Solution Steps

Use the distributive property to multiply 2 by x-5.

$$6x-1\geq 2x-10+1$$

Add -10 and 1 to get -9.

$$6x-1\geq 2x-9$$

Subtract 2x from both sides.

$$6x-1-2x\geq -9$$

Combine 6x and -2x to get 4x.

$$4x-1\geq -9$$

Add 1 to both sides.

$$4x\geq -9+1$$

Add -9 and 1 to get -8.

$$4x\geq -8$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x\geq \frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$x\geq -2$$