Solve (1+x+4)leq4x+4

$$( 1 + x + 4 ) \leq 4 x + 4$$

Solve for x

$$x\geq \frac{1}{3}$$

Solution Steps

Add 1 and 4 to get 5.

$$5+x\leq 4x+4$$

Subtract 4x from both sides.

$$5+x-4x\leq 4$$

Combine x and -4x to get -3x.

$$5-3x\leq 4$$

Subtract 5 from both sides.

$$-3x\leq 4-5$$

Subtract 5 from 4 to get -1.

$$-3x\leq -1$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x\geq \frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x\geq \frac{1}{3}$$