InequalitiesSolving works like an equation, with one rule that catches everyone out.6th GradeSolve an inequality exactly like an equation —except that multiplying or dividing by a negativeflips the direction of the sign.−2x > 8 → x < −4x + 3 > 7x > 4Adding and subtracting never flip the sign.3x ≤ 12x ≤ 4Dividing by a positive does not flip it either.−2x > 8x < −4Divided by a negative, so the sign flipped.Graphing itopen or closed circle< and > get an open circle; ≤ and ≥ get a filled one.THE COMMON MISTAKE−2x > 8 → x > −4−2x > 8 → x < −4Multiplying or dividing by a negative reverses the order of every number, so thesign must flip.Test your answer with an actual number. Put x = −5 into −2x > 8 andcheck it works.Inequalitieslearnposters.com
Inequalities — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Inequalities poster

The rule, 4 worked examples, and the mistake everyone makes.

Test your answer with an actual number. Put x = −5 into −2x > 8 and check it works.

Questions about the Inequalities poster

What’s on the Inequalities poster?
The rule, 4 worked examples, and the mistake everyone makes. Solve an inequality exactly like an equation — except that multiplying or dividing by…; −2x > 8 → x < −4; x + 3 > 7 = x > 4; 3x ≤ 12 = x ≤ 4; −2x > 8 = x < −4; Graphing it = open or closed circle; Common mistake: −2x > 8 → x > −4 → −2x > 8 → x < −4. Test your answer with an actual number. Put x = −5 into −2x > 8 and check it works.
Who is the Inequalities poster for?
Inequalities is filed under 6th Grade (ages 11–12), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Inequalities poster?
Circle the inequality sign before you start. You need to watch it. A wall chart earns its place by being glanceable from where the work is happening, so Inequalities belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Inequalities?
The Distributive Property, Combining Like Terms and One-Step Equations sit alongside Inequalities in the 6th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Distributive PropertyCombining Like TermsOne-Step Equations
Is the Inequalities poster free to download and print?
Yes. Inequalities downloads as a free PDF with no account, no email and no watermark, like everything else in the 6th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Inequalities poster print at?
Inequalities is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Inequalities loses nothing.Printing guide

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Browse every 6th Grade poster, or start from the full catalogue.