montrellgoodman3050 montrellgoodman3050
  • 26-06-2021
  • Mathematics
contestada

Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7

Respuesta :

xenia168
xenia168 xenia168
  • 26-06-2021

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

Ver imagen xenia168
Answer Link

Otras preguntas

PLESEEEEEEEE SOMEONE HELP ME I DIDNT STUDY FOR THIS QUIZ
Find the equation of the straight line which passes through the two points (1,5) and (-2,4).Suppose the equation is y=ax+b.Find a,b.
I need help on c and s please.
6) Antibiotic resistance occurs because people build up a resistance to antibiotics.TrueFalseNote: I know this is true HOWEVER I feel like it could be false bec
10. Given two sets: set H and set W, what must be true about the union of Hand W: HUW
Weather and climate fill in the blank
please some one help me, please.
Please help with this!
ignore this!i got the answer already haha
Pls HELP and it’s not D