Problem preview
MF.EQ.11 Warmup MF-038-A03-V01

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

Reverse the inequality at the right multi-step moment

Problem

Solve the inequality: \(-3x~+~8~>~20\)

Big Picture

What this problem is really about

Remove the added eight first; subtraction on both sides preserves the greater-than direction. The reversal happens only at the next move, when both sides are divided by the negative coefficient on x. Keep the strict symbol and the negative boundary value, then test the boundary and a value on the predicted side in the original inequality.

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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
Reverse the inequality at the right multi-step moment