Let's solve each inequality separately:
1. 3x - 4 < 5
First, let's add 4 to both sides of the inequality:
3x - 4 + 4 < 5 + 4
3x < 9
Next, divide both sides of the inequality by 3:
(3x)/3 < 9/3
x < 3
So the solution to the inequality 3x-4<5 is x < 3.
2. 3x + 4 ≥ 25
First, let's subtract 4 from both sides of the inequality:
3x + 4 - 4 ≥ 25 - 4
3x ≥ 21
Next, divide both sides of the inequality by 3:
(3x)/3 ≥ 21/3
x ≥ 7
So the solution to the inequality 3x+4≥25 is x ≥ 7.
Therefore, the solution to the combined inequality 3x-4<5 or 3x+4≥25 is x < 3 or x ≥ 7.
Solve the inequality
3x-4<5 or 3x+4≥25
1 answer