Solve -2/2-3leq2-(-1/3-2(-2))

$$\frac { - 2 } { 2 } - 3 \leq 2 - ( \frac { - 1 } { 3 } - 2 ( - 2 ) )$$

Verify

Solution Steps

Divide -2 by 2 to get -1.

$$-1-3\leq 2-\left(\frac{-1}{3}-2\left(-2\right)\right)$$

Subtract 3 from -1 to get -4.

$$-4\leq 2-\left(\frac{-1}{3}-2\left(-2\right)\right)$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-4\leq 2-\left(-\frac{1}{3}-2\left(-2\right)\right)$$

Multiply 2 and -2 to get -4.

$$-4\leq 2-\left(-\frac{1}{3}-\left(-4\right)\right)$$

The opposite of -4 is 4.

$$-4\leq 2-\left(-\frac{1}{3}+4\right)$$

Convert 4 to fraction \frac{12}{3}.

$$-4\leq 2-\left(-\frac{1}{3}+\frac{12}{3}\right)$$

Since -\frac{1}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$-4\leq 2-\frac{-1+12}{3}$$

Add -1 and 12 to get 11.

$$-4\leq 2-\frac{11}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$-4\leq \frac{6}{3}-\frac{11}{3}$$

Since \frac{6}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.

$$-4\leq \frac{6-11}{3}$$

Subtract 11 from 6 to get -5.

$$-4\leq -\frac{5}{3}$$

Convert -4 to fraction -\frac{12}{3}.

$$-\frac{12}{3}\leq -\frac{5}{3}$$

Compare -\frac{12}{3} and -\frac{5}{3}.

$$\text{true}$$