Problem preview
MF.EQ.11 Standard MF-038-A04-V01

Solve multi-step inequalities, including reversing the inequality when appropriate.

Solve a multi-step inequality and graph it

Problem

Solve \(3x~-~4~\ge~8\), then match the solution's endpoint and direction to a graph description. Which graph description matches your solution?

A. Closed at \(4\), shaded right
B. Open at \(4\), shaded right
C. Closed at \(4\), shaded left

Big Picture

What this problem is really about

Solve the inequality before interpreting the graph descriptions: undo the subtraction, then divide by the positive coefficient, preserving both direction and endpoint inclusion. Once x is isolated, read the final symbol in two pieces. Its equality bar determines whether the boundary is closed, and its greater-or-less direction determines which way the ray extends.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.11
Category
Pre-Algebra
Domain
Inequalities
Objective
Solve multi-step inequalities, including reversing the inequality when appropriate.
Problem type
Solve a multi-step inequality and graph it