Question

Solve the inequality.
3x +5 < 26 or 4x - 6 > 30
Enter the answer as an inequality showing the value of the variable to a number
You must show or explain your work

Answer 1

Solve each inequality separately, then take their union (because it's "or").

1) 3x + 5 < 26
Subtract 5: 3x < 21
Divide by 3: x < 7

2) 4x − 6 > 30
Add 6: 4x > 36
Divide by 4: x > 9

Since the compound is "or", the solution is x < 7 or x > 9.

(Interval form: (−∞, 7) ∪ (9, ∞).)