From Inequality to Picture
Part of the Inequalities & Absolute Value section of Coddy's Algebra journey. Lesson 27 of 64.
A solved inequality and its number line picture show the same information. To draw the solutions of 2x - 1 > 5, solve it first. Add 1 to both sides, then divide by 2, to get x > 3. The picture is an open dot at 3 with shading to the right.
2x - 1 > 5, that is x > 3
Drawing the solutions of an unsolved inequality takes two steps. First solve it, then draw the answer. You cannot read the picture from the original inequality. The endpoint comes from solving. In the example, the endpoint is 3, and no 3 appears in 2x - 1 > 5.
Challenge
MediumShow 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