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
Answer:
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
