1) To solve 2-5x < 0, we first need to isolate x.
2-5x < 0Add 5x to both sides:2 < 5xNow divide by 5 on both sides to get x by itself:2/5 < x
Therefore, the solution to the inequality 2-5x < 0 is x > 2/5.
2) To solve 3(x-1.5) - 4 < 4x + 1.5, we first need to simplify the inequality.
3(x-1.5) - 4 < 4x + 1.5Distribute the 3:3x - 4.5 - 4 < 4x + 1.5Combine like terms:3x - 8.5 < 4x + 1.5Subtract 3x from both sides:-8.5 < x + 1.5Subtract 1.5 from both sides:-10 < x
Therefore, the solution to the inequality 3(x-1.5) - 4 < 4x + 1.5 is x > -10.
1) To solve 2-5x < 0, we first need to isolate x.
2-5x < 0
Add 5x to both sides:
2 < 5x
Now divide by 5 on both sides to get x by itself:
2/5 < x
Therefore, the solution to the inequality 2-5x < 0 is x > 2/5.
2) To solve 3(x-1.5) - 4 < 4x + 1.5, we first need to simplify the inequality.
3(x-1.5) - 4 < 4x + 1.5
Distribute the 3:
3x - 4.5 - 4 < 4x + 1.5
Combine like terms:
3x - 8.5 < 4x + 1.5
Subtract 3x from both sides:
-8.5 < x + 1.5
Subtract 1.5 from both sides:
-10 < x
Therefore, the solution to the inequality 3(x-1.5) - 4 < 4x + 1.5 is x > -10.