Question

Solve the inequality. Graph the solutions. 6t - 1 < - 37 or 3t + 4 > 19

Answer 1

To solve the inequality 6t - 1 < - 37 or 3t + 4 > 19, we can solve each inequality separately and then combine the solutions.

For the first inequality: 6t - 1 < -37
Adding 1 to both sides, we get: 6t < -36
Dividing both sides by 6, we get: t < -6

For the second inequality: 3t + 4 > 19
Subtracting 4 from both sides, we get: 3t > 15
Dividing both sides by 3, we get: t > 5

So the solution to the inequality is t < -6 or t > 5.

To graph the solutions, you can plot these two intervals on a number line. They can be represented as follows:

<----------(-∞)-------------(-6)----------------(5)---------(∞)--------->
(solution) (solution) (no solution)

The solutions are all the values less than -6 or greater than 5.