Example 1 Easy
If x + 4 > 10, which inequality is equivalent?
- x > 6
- x < 6
- x > 14
- x < 14
Show answer and explanation
Answer: x > 6
Subtract 4 from both sides to get x > 6.
SAT Math skill page
SAT Inequalities Practice
Turn inequality words like at least, at most, greater than, and no more than into clean SAT Math setups.
10-16 min practice time 3 examples on page Heart of Algebra
What this tests
What to know for this SAT skill
- Solve one-variable inequalities
- Flip the inequality sign when multiplying or dividing by a negative
- Translate at least and at most into symbols
- Interpret solution ranges in context
Practice examples
Try a few SAT-style questions
Example 2 Medium
Which inequality represents "a number n is at least 12"?
- n > 12
- n >= 12
- n < 12
- n <= 12
Show answer and explanation
Answer: n >= 12
"At least" includes 12, so the correct symbol is greater than or equal to.
Example 3 Hard
A club can spend no more than $180. If each ticket costs $12, which inequality gives the number t of tickets the club can buy?
- 12t < 180
- 12t <= 180
- t + 12 <= 180
- 180t <= 12
Show answer and explanation
Answer: 12t <= 180
No more than means less than or equal to. The total cost is 12t, so 12t <= 180.
Quick drills
Practice this skill from more angles
Solve one-variable inequalities
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Flip the inequality sign when multiplying or dividing by a negative
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Translate at least and at most into symbols
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Interpret solution ranges in context
Pause before the answer choices, write the rule or setup you need, then check whether the question is asking for the value, the relationship, or the best-supported conclusion.
Avoid these traps
Common mistakes on this skill
Solving before naming the task
The SAT often hides the real skill inside familiar wording. Identify the rule, relationship, or question type first.
Choosing an answer that only partly fits
Many wrong answers are close. Check every condition in the question before committing.
Skipping the final check
Reread what the question asks for so you do not answer a nearby but different question.
Study plan
How to practice this skill in Dolphin
- Read the question and name the tested skill before looking at the choices.
- Write the equation, rule, or passage relationship in plain language.
- Eliminate answers that violate the setup or overstate the evidence.
- Review misses by writing the exact trap that pulled you toward the wrong answer.
Related practice
Build the surrounding skills
Skill cluster
Keep practicing SAT Math
FAQ
Questions about SAT Inequalities Practice
What is the best way to practice SAT Inequalities Practice?
Start with a few focused examples, review the mistake pattern, then mix the skill into full SAT practice so you can recognize it in context.
Why does this skill matter on the SAT?
It shows up in short, high-leverage questions where one missed rule or setup can quickly cost a point.
Can Dolphin SAT help me drill this skill?
Yes. Dolphin SAT can surface targeted practice, track missed questions, and help you review the patterns that keep repeating.