Question

Solve the inequality. |3x+7| <_ 4

Answer 1

Step-by-step explanation:

it can be written as. -4<_(3x+7)<_4

= -11 <_(3x) <_ (-3)

= (-11/3) <_ X <_ (-1)

Answer 2

Answer:

Using ∣x∣>a⇒x<−a or x>a, we get

∣3x−7∣>4⇒3x−7<−4 or 3x−7>4

⇒3x<3 or 3x>11⇒x<1 or x>

3

11

⇒x∈(−∞,1)∪(

3

11

,∞).