From Inequality to Picture
Part of the Inequalities & Absolute Value section of Coddy's Math journey. Lesson 27 of 64.
A solved inequality and its picture carry the same information. 2x - 1 > 5 solves to x > 3 (add 1, divide by 2), and the picture is an open dot at 3 shaded to the right.
2x - 1 > 5, that is x > 3
Drawing the solutions of an unsolved inequality is always two jobs: solve it, then draw the answer. Nothing about the picture can be read off the original line directly; the endpoint comes from the algebra.
Challenge
Show the solutions of 2x + 3 > 7 on the number line.
Try it yourself
Draw the graph
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Inequalities & Absolute Value
1What an Inequality Is
The Four SignsA Picture on a LineClosed or OpenReading It BackwardsRecap: What an Inequality Is4Two-Step Inequalities
Two StepsSubtract, Then FlipWith a FractionA Bracket on the WayRecap: Two-Step Inequalities2Adding and Subtracting
Add to Both SidesSubtract from Both SidesNegatives in the MixSolve, Then DrawRecap: Adding and Subtracting5Variables on Both Sides
x on Both SidesGather Toward the LargerBrackets FirstAlways True, Never TrueRecap: Variables on Both Sides11From Words to Inequalities
At Least, At MostMore ThanA Budget That ShrinksTwo LimitsRecap: From Words3Multiplying and Dividing
Divide by a PositiveMultiply by a PositiveThe FlipDividing by a NegativeNegative FractionsRecap: Multiply and Divide6Graphing Solutions
From Inequality to PictureIs the Endpoint In?A Flip on the LineRecap: Graphing Solutions