Question

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

Answer 1

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!

Answer 2

9514 1404 393

Answer:

x > -20

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.

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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