Question

What is the answer to 12t−2<−5t+36

Answer 1

Answer: t< 17/38

Explanation:

\begin{aligned}12t-2 & < -5t + 36 \\\\ 12t&< -5t+38 &(\text{Add } 2 \text{ to both sides}) \\\\ 17t &< 38 &(\text{Add } 5t \text{ to both sides})\\\\ t&<\dfrac{38}{17}&(\text{Divide both sides by }17) \end{aligned}

12t−2

12t

17t

t

​

<−5t+36

<−5t+38

<38

<

17

38

​

​

(Add 2 to both sides)

(Add 5t to both sides)

(Divide both sides by 17)

​

Answer 2

t < 2.24

Explanation:

To find the answer to t, solve for t using inverse operations.

12t - 2 < -5t + 36

17t - 2 < 36

17t < 38

t < 2.24