Menu

Solve, Then Draw

Part of the Inequalities & Absolute Value section of Coddy's Algebra journey. Lesson 6 of 61.

Many people put the dot for $x+1 > 3$ at 3. That is wrong. Try 2.5: $2.5+1 = 3.5$ , and 3.5 is greater than 3. So 2.5 is an answer too, and 2.5 is below 3.

Solve first, then draw. Subtract 1 from both sides: $x+1 > 3$ becomes $x > 2$ . Draw a hollow dot at 2 and an arrow to the right.

$x > 2: a hollow dot at 2 and an arrow to the right$

Challenge

Draw every solution of $x+9 \le 4$ . Solve it in your head first. Drag the dot to the edge number, then choose which way the arrow points and whether the dot is filled or hollow.

Try it yourself

x+9 \le 4

Show the solutions

All lessons in Inequalities & Absolute Value

1What an Inequality Is

The Four Signs A Picture on a Line Reading It Backwards Recap: What an Inequality Is

4Two-Step Inequalities

Two Steps Subtract, Then Flip With a Fraction A Bracket on the Way Recap: Two-Step Inequalities

7Between Two Numbers

Two Conditions at Once Solving a Chain Two Moves on All Parts When the Chain Flips Chains with Fractions Recap: Between Two Numbers

10Absolute Value Inequalities

Less Than: Between Between, Shifted Greater Than: Outside Outside, Shifted Isolate, Then Split Always or Never Recap: Absolute Inequalities

2Adding and Subtracting

Add to Both SidesSolve, Then DrawRecap: Adding and Subtracting

5Variables on Both Sides

x on Both Sides Gather Toward the Larger Brackets First Always True, Never True Recap: Variables on Both Sides

8One or the Other

Either Works Solving Each Part And versus Or Recap: One or the Other

11From Words to Inequalities

At Least, At Most More Than A Budget That Shrinks Two Limits Recap: From Words