Solve 5-2x/6>-5/3

$$\frac { 5 - 2 x } { 6 } > \frac { - 5 } { 3 }$$

Solve for x

$$x<\frac{15}{2}$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 6,3. Since 6 is positive, the inequality direction remains the same.

$$5-2x>2\left(-5\right)$$

Multiply 2 and -5 to get -10.

$$5-2x>-10$$

Subtract 5 from both sides.

$$-2x>-10-5$$

Subtract 5 from -10 to get -15.

$$-2x>-15$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x<\frac{-15}{-2}$$

Fraction \frac{-15}{-2} can be simplified to \frac{15}{2} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{15}{2}$$