Solve -10g-(1-4g)-2geq5

$$- 10 g - ( 1 - 4 g ) - 2 \geq 5$$

Solve for g

$$g\leq -\frac{4}{3}$$

Solution Steps

To find the opposite of 1-4g, find the opposite of each term.

$$-10g-1-\left(-4g\right)-2\geq 5$$

The opposite of -4g is 4g.

$$-10g-1+4g-2\geq 5$$

Combine -10g and 4g to get -6g.

$$-6g-1-2\geq 5$$

Subtract 2 from -1 to get -3.

$$-6g-3\geq 5$$

Add 3 to both sides.

$$-6g\geq 5+3$$

Add 5 and 3 to get 8.

$$-6g\geq 8$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$g\leq \frac{8}{-6}$$

Reduce the fraction \frac{8}{-6} to lowest terms by extracting and canceling out 2.

$$g\leq -\frac{4}{3}$$