Problem preview

A-REI.12 Warmup M1-008-A12-V04

Graph linear inequalities and systems of linear inequalities as half-plane solution regions.

Decide whether a boundary point is included

Problem

Test boundary point \((2,3)\) for \(C_{1}\): \(x\ge~2\) and \(C_{2}\): \(y<3\).

Answer choices

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comparisons = 2 ≥ 2 true; 3 < 3 false; satisfied = C1; violated = C2; point included = no

comparisons = 2 > 2 false; 3 < 3 false; satisfied = none; violated = C1, C2; point included = no

comparisons = 2 ≥ 2 true; 3 ≤ 3 true; satisfied = C1, C2; violated = none; point included = yes

comparisons = 2 ≥ 2 true; 3 < 3 false; satisfied = C1; violated = C2; point included = yes

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Curriculum context

Course: Math I
Standard: A-REI.12
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Graph linear inequalities and systems of linear inequalities as half-plane solution regions.
Problem type: Decide whether a boundary point is included