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 , then 5 is somewhere to the left of 7 on the number line.
Showing a random 20 of 50 problems.
Example 1
mediumSolve .
Example 2
mediumA car uses up to gallons per trip and contains gallons. Write an inequality for safe fuel.
Example 3
easyDoes include the value ?
Example 4
easyWhat does mean?
Example 5
mediumOrder from least to greatest: .
Example 6
mediumSolve .
Example 7
mediumSolve .
Example 8
mediumExplain why implies for any real .
Example 9
mediumSolve .
Example 10
easyRewrite with the variable on the left.
Example 11
mediumWhich integers satisfy ?
Example 12
mediumSolve and explain the direction flip when multiplying by a negative.
Example 13
mediumHow many positive integers satisfy ?
Example 14
mediumA student must score at least 70 to pass. They have scores 65, 72, 80. Which scores pass? Write as inequalities.
Example 15
easySolve .
Example 16
easyTranslate: 'a price no more than $50' as an inequality.
Example 17
easyRead in words and rewrite with the variable on the left.
Example 18
easySolve and graph the solution on a number line.
Example 19
mediumSolve .
Example 20
mediumWhich of the following violates : , , ?