Solve -1/3x-4.4geq-x-2

$$- \frac { 1 } { 3 } x - 4.4 \geq - x - 2$$

Solve for x

$$x\geq \frac{18}{5}$$

Solution Steps

Add x to both sides.

$$-\frac{1}{3}x-4.4+x\geq -2$$

Combine -\frac{1}{3}x and x to get \frac{2}{3}x.

$$\frac{2}{3}x-4.4\geq -2$$

Add 4.4 to both sides.

$$\frac{2}{3}x\geq -2+4.4$$

Add -2 and 4.4 to get 2.4.

$$\frac{2}{3}x\geq 2.4$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.

$$x\geq 2.4\times \frac{3}{2}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$x\geq \frac{12}{5}\times \frac{3}{2}$$

Multiply \frac{12}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\geq \frac{12\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{12\times 3}{5\times 2}.

$$x\geq \frac{36}{10}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$x\geq \frac{18}{5}$$