+0

# Inequality

0
120
1

Solve 1/3*t - 5 < t - 2. Give your answer as an interval.

Jan 23, 2022

#1
+585
+2

First we make the inequality clearer, this is what it looks like:

$${t\over3} - 5 < t - 2$$

Step 1 is to make it neater, so we multiply both sides of the inequality by 3.

$$t - 15 < 3t - 6$$

Then we isolate the variable by adding 6 to both sides of the inequality, then subtracting $$t$$ from both sides of the inequality.

$$t - 9 <3t$$

$$-9<2t$$

The last step is to divide both sides by 2 to get the interval for $$t$$.

-4.5 < t

4.5 can be written as 9/2, but there you have it, the interval for t!

Jan 23, 2022
edited by proyaop  Jan 23, 2022
edited by proyaop  Jan 23, 2022