Checking Inequality Solutions by Substitution
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 11: Inequalities) learn to verify inequality solutions by substituting test values. A correct solution makes the inequality true for values inside the solution set and false for values outside it, including a check at the boundary value.
Key Concepts
To verify an inequality solution, substitute test values from the solution set into the original inequality. The inequality should remain true for values in the solution set and false for values outside it.
Common Questions
How do you check an inequality solution by substitution in 7th grade?
Substitute a value from the solution set into the original inequality. It should be true. Then substitute a value outside the solution set. It should be false.
How do you verify whether the boundary value should be included?
Substitute the boundary value. If the inequality is true (for <= or >=), use a closed circle. If false (for < or >), use an open circle.
How do you check the solution x < 4 for x + 3 < 7?
Test x = 2 (in solution): 2 + 3 = 5 < 7, true. Test x = 5 (not in solution): 5 + 3 = 8 < 7, false. Solution is confirmed.
What chapter in Big Ideas Math Advanced 2 covers checking inequality solutions?
Chapter 11: Inequalities in Big Ideas Math Advanced 2 (Grade 7) covers checking inequality solutions by substitution.
Why do you test multiple values when checking an inequality?
Unlike equations with a single solution, inequalities have a range of solutions. Testing inside and outside confirms the entire solution set is correct.