Solve -5n+6geq-7(5n-6)-6n

$$- 5 n + 6 \geq - 7 ( 5 n - 6 ) - 6 n$$

Solve for n

$$n\geq 1$$

Solution Steps

Use the distributive property to multiply -7 by 5n-6.

$$-5n+6\geq -35n+42-6n$$

Combine -35n and -6n to get -41n.

$$-5n+6\geq -41n+42$$

Add 41n to both sides.

$$-5n+6+41n\geq 42$$

Combine -5n and 41n to get 36n.

$$36n+6\geq 42$$

Subtract 6 from both sides.

$$36n\geq 42-6$$

Subtract 6 from 42 to get 36.

$$36n\geq 36$$

Divide both sides by 36. Since 36 is positive, the inequality direction remains the same.

$$n\geq \frac{36}{36}$$

Divide 36 by 36 to get 1.

$$n\geq 1$$