Practice Inequality Intuition in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Understanding that < and > describe ordering relationships—one quantity is strictly smaller or larger than the other.
If 5 < 7, then 5 is somewhere to the left of 7 on the number line.
Example 1
easySolve \(x + 3 < 10\) and graph the solution on a number line.
Example 2
mediumSolve \(-2x \geq 8\) and explain the direction flip when multiplying by a negative.
Example 3
easySolve \(2x - 4 > 6\).
Example 4
mediumA student must score at least 70 to pass. They have scores 65, 72, 80. Which scores pass? Write as inequalities.