Solving Inequalities
Grade 7 · Math · Expressions and Equations · Nebraska, USA
Lesson Summary
Solve and graph one-step and two-step inequalities on a number line.
Explanation
An inequality uses symbols like <, >, ≤, or ≥ instead of an equals sign. You solve inequalities the same way you solve equations, with one important twist: when you multiply or divide both sides by a negative number, you must flip the inequality sign. After solving, graph the solution on a number line using an open circle for < or > and a closed circle for ≤ or ≥.
Practice Questions
Q1: Solve: 2x + 3 > 11.
Answer: Subtract 3: 2x > 8. Divide by 2: x > 4.
Q2: Solve: −3y ≤ 12.
Answer: Divide by −3 and flip the sign: y ≥ −4.
Q3: Solve: 5 − x < 9.
Answer: Subtract 5: −x < 4. Divide by −1 and flip: x > −4.
People Also Ask
What is Solving Inequalities in Grade 7 Math?+
Solving Inequalities is a lesson in the Expressions and Equations chapter of Grade 7 Math. It is part of the Nebraska, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Solving Inequalities?+
Solving Inequalities is taught in Grade 7 as part of the Math curriculum in Nebraska, USA.
How can I help my child with Expressions and Equations in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Expressions and Equations topics.