Solve -7geq4-4x/5

$$- 7 \geq \frac { 4 - 4 x } { 5 }$$

Solve for x

$$x\geq \frac{39}{4}$$

Solution Steps

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

$$-7\times 5\geq 4-4x$$

Multiply -7 and 5 to get -35.

$$-35\geq 4-4x$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$4-4x\leq -35$$

Subtract 4 from both sides.

$$-4x\leq -35-4$$

Subtract 4 from -35 to get -39.

$$-4x\leq -39$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$x\geq \frac{-39}{-4}$$

Fraction \frac{-39}{-4} can be simplified to \frac{39}{4} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{39}{4}$$