1. Solve the inequality: 3x + 2 > 14
To solve this inequality, we need to isolate the variable x.
3x + 2 > 14
Subtract 2 from both sides:
3x > 12
Divide by 3 on both sides:
x > 4
Therefore, the solution to the inequality is x > 4.
Drawing the number line with an open circle at 4 and shading to the right:
0--------4o==========>
2. Solve the inequality: -2x ≤ 10
To solve this inequality, we need to isolate the variable x.
-2x ≤ 10
Divide by -2 on both sides (when dividing by a negative number, remember to flip the inequality sign):
x ≥ -5
Therefore, the solution to the inequality is x ≥ -5.
Drawing the number line with a closed circle at -5 and shading to the right:
<==========o-5--------0
3. Solve the inequality: 2(3x - 1) < 8
To solve this inequality, we need to distribute and then isolate the variable x.
2(3x - 1) < 8
6x - 2 < 8
Add 2 to both sides:
6x < 10
Divide by 6 on both sides:
x < 10/6 or x < 5/3
Therefore, the solution to the inequality is x < 5/3.
Drawing the number line with an open circle at 5/3 and shading to the left:
<==========o5/3----0
4. Solve the inequality: 5 - 2x ≥ -7
To solve this inequality, we need to isolate the variable x.
5 - 2x ≥ -7
Subtract 5 from both sides:
-2x ≥ -12
Divide by -2 on both sides (remember to flip the inequality sign when dividing by a negative number):
x ≤ 6
Therefore, the solution to the inequality is x ≤ 6.
Drawing the number line with a closed circle at 6 and shading to the left:
0----6o==========<
Solutions of inequality practice test with number line
1 answer
1 answer