Solve 2+0.5*100x>32+0.5*40x

$$2 + 0.5 \times 100 x > 32 + 0.5 \times 40 x$$

Solve for x

$$x>1$$

Solution Steps

Multiply 0.5 and 100 to get 50.

$$2+50x>32+0.5\times 40x$$

Multiply 0.5 and 40 to get 20.

$$2+50x>32+20x$$

Subtract 20x from both sides.

$$2+50x-20x>32$$

Combine 50x and -20x to get 30x.

$$2+30x>32$$

Subtract 2 from both sides.

$$30x>32-2$$

Subtract 2 from 32 to get 30.

$$30x>30$$

Divide both sides by 30. Since 30 is positive, the inequality direction remains the same.

$$x>\frac{30}{30}$$

Divide 30 by 30 to get 1.

$$x>1$$