Question

Question 17
Solve the inequality. Express your answer using interval notation.

|5x + 2| > 3
Seleccione una respuesta.
a. (- \infty , -1) or ( \frac{1}{5}, \infty)
b. (- \infty , -1] or [ \frac{1}{5}, \infty)
c. [ -1, \frac{1}{5} ] Incorrecto
d. ( -1, \frac{1}{5} )
Incorrecto
Puntos para este envío: 0/1.
Question 17
Solve the inequality. Express your answer using interval notation.

|5x + 2| > 3
Seleccione una respuesta.
a. (- \infty , -1) or ( \frac{1}{5}, \infty)
b. (- \infty , -1] or [ \frac{1}{5}, \infty)
c. [ -1, \frac{1}{5} ] Incorrecto
d. ( -1, \frac{1}{5} )
Incorrecto
Puntos para este envío: 0/1.
@Mathematics

Answer 1

@_@ so confusing @-@

Answer 2

|5x+2|>3
|5x|>1
|x|>1/5
so x must be in the intervals: [-infinity, -1/5) or (1/5, infinity]

Answer 3

sorry I did this wrong.
it should be as follows:
|5x+3| > 3
let y=5x+3, so
|y| > 3
so y must be in the intervals: [-infinity, -3) or (3, infinity]
so 5x+2 < -3 or 5x+2 > 3
so 5x < -5 or 5x > 1
so x < -1 or x > 1/5
so x must be in the intervals: [-infinity, -1) or (1/5, infinity]

Answer 4

so answer is (a)

Answer 5

i guess you can never get to infinity, so correct interval cannot include it.

Answer 6

Can you help me to this assignment please?