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Will give BRAINLIEST! Find the set of x values that satisfy this inequality. 2 | 5x − 4 | > 6 Select one:a. x ≤ 7 / 5 and x ≥ 1 / 5b. x > 7 / 5c. x > 7 / 5 or x < 1 / 5d. 1 / 5 ≤ x ≤ 7 / 5

Respuesta :

mhanifa

Answer:

c. x > 7 / 5 or x < 1 / 5

Step-by-step explanation:

2 | 5x − 4 | > 6

| 5x - 4 | > 3

  • 5x -4 > 3 ⇒ 5x > 7 ⇒ x > 7/5
  • 5x -4 < -3 ⇒ 5x < 1 ⇒ x < 1/5

So combining the 2 above we get:

  • x > 7/5 or x < 1/5

Correct choice is c.

wegnerkolmp2741o

Answer:

x>7/5                 or            x <1/5

Step-by-step explanation:

2 | 5x − 4 | > 6

Divide by 2

2/2 | 5x − 4 | > 6/2

 | 5x − 4 | > 3

There are two solutions one positive and one negative ( the negative flips the inequality)

5x-4 >3      or         5x-4 < -3

Add 4 to each side

5x-4 +4>3+4   or              5x-4+4 < -3+4

5x >7                  or            5x <1

Divide by 5

x>7/5                 or            x <1/5

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