# How do you solve 4(t-7)<2(t+9)?

Jan 17, 2017

$t < 23$

#### Explanation:

$4 \left(t - 7\right) < 2 \left(t + 9\right) \text{ }$ remove the brackets

$4 t - 28 < 2 t + 18 \text{ }$ treat like an equation

$4 t - 2 t < 18 + 28$

$2 t < 46 \text{ }$isolate t so divide by 2

$t < 23$

In this case we could treat the inequality exactly as an equation because it did not involve division or multiplication by a negative number.