Solve 1.4-x/5-0.6x/3<2.28

$$\frac{ 1.4-x }{ 5 } - \frac{ 0.6x }{ 3 } < 2.28$$

Solve for x

$$x>-5$$

Solution Steps

Multiply both sides of the equation by 15, the least common multiple of 5,3. Since 15 is positive, the inequality direction remains the same.

$$3\left(1.4-x\right)-5\times 0.6x<34.2$$

Use the distributive property to multiply 3 by 1.4-x.

$$4.2-3x-5\times 0.6x<34.2$$

Multiply -5 and 0.6 to get -3.

$$4.2-3x-3x<34.2$$

Combine -3x and -3x to get -6x.

$$4.2-6x<34.2$$

Subtract 4.2 from both sides.

$$-6x<34.2-4.2$$

Subtract 4.2 from 34.2 to get 30.

$$-6x<30$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$x>\frac{30}{-6}$$

Divide 30 by -6 to get -5.

$$x>-5$$