Solve 15geq5/3(d-6)

$$15 \geq \frac { 5 } { 3 } ( d - 6 )$$

Solve for d

$$d\leq 15$$

Solution Steps

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}. Since \frac{5}{3} is positive, the inequality direction remains the same.

$$15\times \frac{3}{5}\geq d-6$$

Express 15\times \frac{3}{5} as a single fraction.

$$\frac{15\times 3}{5}\geq d-6$$

Multiply 15 and 3 to get 45.

$$\frac{45}{5}\geq d-6$$

Divide 45 by 5 to get 9.

$$9\geq d-6$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$d-6\leq 9$$

Add 6 to both sides.

$$d\leq 9+6$$

Add 9 and 6 to get 15.

$$d\leq 15$$