Question

HELP

Graph the solution of the inequality.

14 ≤ 2t + 18 < 20

Answer 1

Greetings!

First when doing an inequality, if you find it easier to think of the ≤ signs as equal signs it can make it look easier.

14 = 2t + 18 = 20

Because we need to isolate the t, we need to subtract 18 from either side:

14 - 18 ≤ 2t + 18 - 18 < 20 - 18

Which then simplifies to:

-4 ≤ 2t < 2

Now, to get the t without two lots of it, we simply divide all sides by two:

-2 ≤ t < 1

So this means that t is smaller than one and bigger than or equal to -2, and the graph that shows that is C, because it includes -2 but is less than 1.

Hope this helps!