Solve the Inequality for t -6t+5>-7

$- 6 t + 5 > - 7$

Step 1

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

Subtract $5$ from both sides of the inequality.

$- 6 t > - 7 - 5$

Subtract $5$ from $- 7$ .

$- 6 t > - 12$

Step 2

Divide each term in $- 6 t > - 12$ by $- 6$ and simplify.

Divide each term in $- 6 t > - 12$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 t}{- 6} < \frac{- 12}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 t}{- 6} < \frac{- 12}{- 6}$

Divide $t$ by $1$ .

$t < \frac{- 12}{- 6}$

Simplify the right side.

Divide $- 12$ by $- 6$ .

$t < 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$t < 2$

Interval Notation:

$(- \infty, 2)$

Solve the Inequality for t -6t+5>-7

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