Mathematics Grade 7 15 min

Write inequalities from number lines

Write inequalities from number lines

What you'll learn

  • Identify the critical values of a polynomial inequality by determining the real roots of the related polynomial equation with 100% accuracy on a summative assessment.
  • Solve higher-degree polynomial inequalities algebraically and graphically, expressing the solution set using interval notation with at least 80% accuracy on a problem set.
  • Explain the relationship between the sign of a polynomial expression and its graph, justifying how this relationship informs the solution set of the corresponding polynomial inequality in a written explanation of at least 150 words with accurate mathematical reasoning.
  • Apply knowledge of polynomial inequalities to model and solve real-world problems, such as optimization problems, with at least 75% accuracy on application-based test questions.

Tutorial Preview

1

Write an inequality for the number line shown.

2

Write an inequality for this number line.

3

Write an inequality for the number line with a negative number.

Sample Practice Questions

Easy
Which inequality represents the graph? It shows an open circle at 4 and an arrow pointing right.
0.x > 4
1.x < 4
2.x ≥ 4
3.x ≤ 4
Easy
Which inequality represents the graph? It shows a closed circle at 8 and an arrow pointing left.
0.x > 8
1.x < 8
2.x ≥ 8
3.x ≤ 8
Easy
Which inequality represents the graph? It shows an open circle at 1 and an arrow pointing left.
0.x > 1
1.x < 1
2.x ≥ 1
3.x ≤ 1

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Frequently asked questions

What grade level is "Write inequalities from number lines"?

Write inequalities from number lines is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Write inequalities from number lines?

You'll be able to: Identify the critical values of a polynomial inequality by determining the real roots of the related polynomial equation with 100% accuracy on a summative assessment; Solve higher-degree polynomial inequalities algebraically and….

Is "Write inequalities from number lines" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Write inequalities from number lines?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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