Question

Solve the inequality and graph its solution: –14 < 7t < 21

Answer 1

-14<7t<21
divide all sides by 7
-2<t<3

So the graphed form of this would be on a number line. An empty circle (not shaded in) would be on the -2 and the 3. And then you'd fill in a line between the two circles.

Answer 2

Answer:

The solution of the inequality is -2 < t < 3 and the graph is the attachments

Step-by-step explanation:

In order to solve this inequality you can use this rule if a < u < b then a < u and u < b, so -14 < 7t and 7t < 21.

The first inequality:

-14 < 7t = 7t > -14 = 7t/7 > -14/7 = t > -2

The second inequality:

7t < 21 = 7t/7 < 21/7 = t < 3

Merge overlapping intervals gives you the solution:

-2 < t < 3

The solution to this inequality is the set of all real numbers t that are less than 3, and greater than -2 not including -2 and 3. The solution is represented by a line.