Solve, Then Draw
Part of the Inequalities & Absolute Value section of Coddy's Math journey. Lesson 9 of 64.
Solving and drawing go together. x + 1 > 3 is solved by subtracting 1: x > 2. Then the picture says it in one glance: an open dot at 2, shading to the right.
When you draw the solutions, the work is in two parts: first find the endpoint (solve for x), then decide the two details of the picture, whether the dot is open or closed (look at the sign: strict or "or equal to") and which way to shade (the way the sign points once x is first). Solve first; the picture follows from the answer, never from the original line.
Challenge
Show the solutions of x - 2 >= 1 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