Solve 2.4-xgeq0.3-0.7x

$$2.4 - x \geq 0.3 - 0.7 x$$

Solve for x

$$x\leq 7$$

Solution Steps

Add 0.7x to both sides.

$$2.4-x+0.7x\geq 0.3$$

Combine -x and 0.7x to get -0.3x.

$$2.4-0.3x\geq 0.3$$

Subtract 2.4 from both sides.

$$-0.3x\geq 0.3-2.4$$

Subtract 2.4 from 0.3 to get -2.1.

$$-0.3x\geq -2.1$$

Divide both sides by -0.3. Since -0.3 is negative, the inequality direction is changed.

$$x\leq \frac{-2.1}{-0.3}$$

Expand \frac{-2.1}{-0.3} by multiplying both numerator and the denominator by 10.

$$x\leq \frac{-21}{-3}$$

Divide -21 by -3 to get 7.

$$x\leq 7$$