Pls help i need to know what x/-4 + 6 < 11 is?!?!!?!?!

Answer:

x ∈ ( - ∞ , 20 )

Step-by-step explanation:

Given :

x / 4 + 6 < 11

Adding - 11 both we get:

= > x / 4 + 6 - 11 < 11 - 11

= > x / 4 - 5 < 0

Multiply by 4 both we get:

= > x - 20 < 0

Adding 20 both side we get:

= > x - 20 + 20 < 20

= > x < 20

Solution set x ∈ ( - ∞ , 20 )

Hence we get required answer!

9514 1404 393

  x > -20

Step-by-step explanation:

This is a "2-step" inequality with a negative coefficient.

  x/-4 +6 < 11 . . . . . given

  x/-4 < 5 . . . . . . . . subtract 6 from both sides

  x > -20 . . . . . . . . .multiply both sides by -4

Because the multiplier is negative, the sense of the comparison must be reversed.

Check

  x = -24 should not be in the solution set: -24/-4 +6 < 11 ⇒ 12 < 11 . . . False

  x = -16 should be in the solution set: -16/-4 +6 < 11 ⇒ 10 < 11 . . . True

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)