Solving One-Step Inequalities Practice
1. Solve for x: 2x + 3 > 7
Subtract 3 from both sides:
2x + 3 - 3 > 7 - 3
2x > 4
Divide both sides by 2:
x > 2
2. Solve for y: 5y - 8 ≤ 7
Add 8 to both sides:
5y - 8 + 8 ≤ 7 + 8
5y ≤ 15
Divide both sides by 5:
y ≤ 3
3. Solve for x: 4x + 2 > 10
Subtract 2 from both sides:
4x + 2 - 2 > 10 - 2
4x > 8
Divide both sides by 4:
x > 2
4. Solve for w: 3w - 7 < 2
Add 7 to both sides:
3w - 7 + 7 < 2 + 7
3w < 9
Divide both sides by 3:
w < 3
5. Solve for y: -2y + 5 ≥ 3
Subtract 5 from both sides:
-2y + 5 - 5 ≥ 3 - 5
-2y ≥ -2
Divide both sides by -2 (remember to flip the inequality symbol):
y ≤ 1
8x < or = 48
To solve for x, we need to isolate it.
We can start by dividing both sides of the inequality by 8, since we want to undo the multiplication.
8x ≤ 48
8x/8 ≤ 48/8
x ≤ 6
Therefore, the solution to the inequality is x ≤ 6.
10 + x > 23
To solve for x, we need to isolate it.
We can start by subtracting 10 from both sides of the inequality to undo the addition:
10 + x - 10 > 23 - 10
x > 13
Therefore, the solution to the inequality is x > 13.
x - 14 < or = 28
To solve for x, we need to isolate it.
We can start by adding 14 to both sides of the inequality to undo the subtraction:
x - 14 + 14 < or = 28 + 14
x < or = 42
Therefore, the solution to the inequality is x < or = 42.