Solve, Then Draw
Part of the Inequalities & Absolute Value section of Coddy's Algebra journey. Lesson 9 of 64.
To solve x + 1 > 3, subtract 1 from both sides to get x > 2. On the number line, draw an open dot at 2 and shade to the right.
Drawing the solutions has two parts. First, solve for x to find the endpoint. Then decide the two details of the picture. The dot is open for a strict sign and closed for a sign with "or equal to". The shading goes the way the sign points once x is written first. Always solve first. The picture comes from the answer, not from the original inequality.
Challenge
EasyShow 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