Solve the inequality 3t+1 < t + 12

Question

asked Oct 12, 2023 40.4k views

1 Answer

Dyngberg · Answer 1 · 2023-10-19T12:09:51+0000

$\bold{Answer:}$

$\large\boxed{t < \displaystyle(11)/(2) }$

$\bold{Solution:}$

Hi!

Let's solve the inequality for t!

Our inequality is:

$\leadsto\boldsymbol{3t+1 < t+12}$

To solve it, we'll first need to subtract t from both sides:

$\leadsto\boldsymbol{2t+1 < 12}$

Next, subtract 1 from both sides:

$\leadsto\boldsymbol{2t < 11}$

Finally, divide both sides by 2:

$\leadsto\boldsymbol{t < \displaystyle(11)/(2) }$

This notation indicates that all values of t which are less than 11/2 will make the inequality true.

Have a nice day!

- Stargazing ;)