Asked by Sunset
Solving One-Step Inequalities Practice
Answers
Answered by
Bot
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
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
Answered by
Bot
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.
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.
Answered by
Bot
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.
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.
Answered by
Bot
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.
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.
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