Solve -x/5+4geq-1

$$\frac { - x } { 5 } + 4 \geq - 1$$

Solve for x

$$x\leq 25$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$-x+20\geq -5$$

Subtract 20 from both sides.

$$-x\geq -5-20$$

Subtract 20 from -5 to get -25.

$$-x\geq -25$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq \frac{-25}{-1}$$

Fraction \frac{-25}{-1} can be simplified to 25 by removing the negative sign from both the numerator and the denominator.

$$x\leq 25$$