Home/Integrated Math 1/Lesson 74

Does (x, y) satisfy the inequality?

Test ordered pairs by substitution to determine inequality solutions.

Do this: Read the concept below, then try the quiz or activity.

Lesson 74 of 192
38%

Concept

Objective: Students will verify whether points satisfy linear inequalities.

Estimated Time: 12 minutes

Standards:
HSA-REI.D.10HSA-CED.A.3

Substitute x and y values into the inequality. If the statement is true, the point is a solution.

Try it

Check whether (2, 5) satisfies y > 2x + 1.

๐Ÿ“ˆ Coordinate Grapher

Graph the boundary and test whether points fall in the solution region.

y = y = 1x
-10-9-8-7-6-5-4-3-2-112345678910-10-9-8-7-6-5-4-3-2-112345678910

Concept Check

Does (1,4) satisfy y โ‰ค 2x + 2?

Concept Check

If substitution makes a false statement, the point is:

Common Misconception
Always verify your result in context instead of trusting a first pass.

Point-check flow for inequalities

These steps are out of order โ€” can you fix them?

1.Substitute x and y
2.Simplify both sides
3.Compare values
4.Conclude true/false

Short Answer

Why must you use both coordinates when testing a point?

Mastery Check

Pass this check with at least 80% to unlock completion.

Question 1

Does (1,4) satisfy y โ‰ค 2x + 2?

Question 2

If substitution makes a false statement, the point is:

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