Solve for t 4t-3>37t-50

$4 t - 3 > 37 t - 50$

Move all terms containing $t$ to the left side of the inequality.

Subtract $37 t$ from both sides of the inequality.

$4 t - 3 - 37 t > - 50$

Subtract $37 t$ from $4 t$ .

$- 33 t - 3 > - 50$

Move all terms not containing $t$ to the right side of the inequality.

Add $3$ to both sides of the inequality.

$- 33 t > - 50 + 3$

Add $- 50$ and $3$ .

$- 33 t > - 47$

Divide each term in $- 33 t > - 47$ by $- 33$ and simplify.

Divide each term in $- 33 t > - 47$ by $- 33$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 33 t}{- 33} < \frac{- 47}{- 33}$

Simplify the left side.

Cancel the common factor of $- 33$ .

Cancel the common factor.

$\frac{- 33 t}{- 33} < \frac{- 47}{- 33}$

Divide $t$ by $1$ .

$t < \frac{- 47}{- 33}$

Simplify the right side.

Dividing two negative values results in a positive value.

$t < \frac{47}{33}$

The result can be shown in multiple forms.

Inequality Form:

$t < \frac{47}{33}$

Interval Notation:

$(- \infty, \frac{47}{33})$

Solve for t 4t-3>37t-50

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