Solve 18*400+(X-100)*120geq8160

$$18 \times 400 + ( X - 100 ) \times 120 \geq 8160$$

Solve for X

$$X\geq 108$$

Solution Steps

Multiply 18 and 400 to get 7200.

$$7200+\left(X-100\right)\times 120\geq 8160$$

Use the distributive property to multiply X-100 by 120.

$$7200+120X-12000\geq 8160$$

Subtract 12000 from 7200 to get -4800.

$$-4800+120X\geq 8160$$

Add 4800 to both sides.

$$120X\geq 8160+4800$$

Add 8160 and 4800 to get 12960.

$$120X\geq 12960$$

Divide both sides by 120. Since 120 is positive, the inequality direction remains the same.

$$X\geq \frac{12960}{120}$$

Divide 12960 by 120 to get 108.

$$X\geq 108$$