Solve -2t-4/9-(-3t)>3/9

$$- 2 t - \frac { 4 } { 9 } - ( - 3 t ) > \frac { 3 } { 9 }$$

Solve for t

$$t>\frac{7}{9}$$

Solution Steps

The opposite of -3t is 3t.

$$-2t-\frac{4}{9}+3t>\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$-2t-\frac{4}{9}+3t>\frac{1}{3}$$

Combine -2t and 3t to get t.

$$t-\frac{4}{9}>\frac{1}{3}$$

Add \frac{4}{9} to both sides.

$$t>\frac{1}{3}+\frac{4}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{4}{9} to fractions with denominator 9.

$$t>\frac{3}{9}+\frac{4}{9}$$

Since \frac{3}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$t>\frac{3+4}{9}$$

Add 3 and 4 to get 7.

$$t>\frac{7}{9}$$