Solving and Graphing InequalitiesThe same steps as an equation, plus one rule and one new notation.9th GradeSolve exactly like an equation, then draw the solution on a number line.1SOLVE AS NORMALInverse operations, both sides, same as an equation.2FLIP FOR NEGATIVESMultiplying or dividing by a negative reverses the sign.3CHOOSE THE CIRCLEOpen for < and >, filled for ≤ and ≥.4SHADE THE RIGHT WAYTowards the values that make it true. Test one to be sure.WORKED−3x + 5 ≤ 14 → −3x ≤ 9 → x ≥ −3Filled circle at −3, shaded to the right.Test a number from your shaded region in the original inequality. Itshould work.Solving and Graphing Inequalitieslearnposters.com
Solving and Graphing Inequalities — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Solving and Graphing Inequalities, step by step

Solve exactly like an equation, then draw the solution on a number line.

  1. SOLVE AS NORMALInverse operations, both sides, same as an equation.
  2. FLIP FOR NEGATIVESMultiplying or dividing by a negative reverses the sign.
  3. CHOOSE THE CIRCLEOpen for < and >, filled for ≤ and ≥.
  4. SHADE THE RIGHT WAYTowards the values that make it true. Test one to be sure.

worked

  • −3x + 5 ≤ 14 → −3x ≤ 9 → x ≥ −3
  • Filled circle at −3, shaded to the right.

Test a number from your shaded region in the original inequality. It should work.

Questions about the Solving and Graphing Inequalities poster

What’s on the Solving and Graphing Inequalities poster?
4 numbered steps, with a full worked run-through. Solve exactly like an equation, then draw the solution on a number line. SOLVE AS NORMAL — Inverse operations, both sides, same as an equation.; FLIP FOR NEGATIVES — Multiplying or dividing by a negative reverses the sign.; CHOOSE THE CIRCLE — Open for < and >, filled for ≤ and ≥.; SHADE THE RIGHT WAY — Towards the values that make it true. Test one to be sure.. Test a number from your shaded region in the original inequality. It should work.
Who is the Solving and Graphing Inequalities poster for?
Solving and Graphing Inequalities is filed under 9th Grade (ages 14–15), 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 Solving and Graphing Inequalities poster?
Circle the inequality sign before you begin. You need to watch it throughout. A wall chart earns its place by being glanceable from where the work is happening, so Solving and Graphing Inequalities belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Solving and Graphing Inequalities?
Absolute Value Equations, Arithmetic Sequences and Difference of Squares sit alongside Solving and Graphing Inequalities in the 9th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Absolute Value EquationsArithmetic SequencesDifference of Squares
Is the Solving and Graphing Inequalities poster free to download and print?
Yes. Solving and Graphing Inequalities downloads as a free PDF with no account, no email and no watermark, like everything else in the 9th 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 Solving and Graphing Inequalities poster print at?
Solving and Graphing 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 Solving and Graphing Inequalities loses nothing.Printing guide

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