Solutions of inequality practice test on number lines

Answer 1

1. Solve the inequality x > 3 on a number line.

- We represent this inequality on a number line by drawing an open circle at 3 and an arrow to the right of it to show that x is greater than 3.

0 1 2 3 4 5 6 7 8
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- Therefore, the solution to the inequality x > 3 on the number line is x is all real numbers greater than 3.

2. Solve the inequality 2x + 1 < 5 on a number line.

- First, we simplify the inequality:
2x + 1 < 5
2x < 4
x < 2

- We represent this inequality on a number line by drawing an open circle at 2 and an arrow to the left of it to show that x is less than 2.

0 1 2 3 4 5 6 7 8
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- Therefore, the solution to the inequality 2x + 1 < 5 on the number line is x is all real numbers less than 2.

3. Solve the inequality -3x ≥ 9 on a number line.

- First, we need to divide both sides of the inequality by -3 and reverse the inequality sign to get:
x ≤ -3

- We represent this inequality on a number line by drawing a closed circle at -3 and an arrow to the left of it to show that x is less than or equal to -3.

-6 -5 -4 -3 -2 -1 0 1 2
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- Therefore, the solution to the inequality -3x ≥ 9 on the number line is x is all real numbers less than or equal to -3.