📏

Get Ready: Graph Inequalities

To graph an inequality on a number line, you first need solid number line basics — knowing where numbers sit and which way is bigger. Warm up the number line and comparing numbers, and graphing inequalities is just shading the right direction.

Readiness Pre-Lesson Unit 7 · Lesson 5 Builds toward 6.EE.8
Readiness progress: 0%
Why this matters for Lesson 7-5: To graph an inequality on a number line, you first need solid number line basics — knowing where numbers sit and which way is bigger. Warm up the number line and comparing numbers, and graphing inequalities is just shading the right direction.
?
Quick Check · 1 minute

Where should you start?

Answer these 3, then press Show my path. No grade — this just points you to the right level.

1. On a number line, which number is farther right?

2. Numbers on a number line get bigger as you move…

3. Which symbol is true? 4 ___ 9

🧱 Start at Level 0. We'll build this from the ground up with small steps. That's totally fine — take your time below.
🛠️ Start at Level 1. You've got the idea — a little guided practice and you'll be ready.
🚀 Start at Level 2. Your basics are strong! Do the quick warm-up and head into the lesson.
⚠️ Answer all 3 questions first, then press Show my path.
1
Learn It

The number line

On a number line, numbers go in order from left to right. Numbers get bigger to the right and smaller to the left. To graph n > 3, you shade all the numbers bigger than 3 — to the right.

On the line … 0 1 2 3 4 5 … the number 5 is to the right of 2, so 5 > 2.
"Numbers greater than 4" live to the right of 4. "Numbers less than 4" live to the left of 4.
2
Practice · Your Level

Try It

Your quick check picks one for you, but you can switch any time:

Level 0 Read the number line.

A. On the line 0 1 2 3 4 5, what number is just to the right of 3?

Hint

Moving right adds 1: after 3 comes 4.

B. What number is just to the left of 3?

Hint

Moving left subtracts 1: before 3 comes 2.

C. Which number is bigger: 1 or 6?

Hint

6 is farther right on the number line, so 6 is bigger.

Level 1 Which side gets shaded?

A. To graph n > 5, you shade numbers…

Hint

Greater than means bigger, and bigger numbers are to the right.

B. To graph n < 2, you shade numbers…

Hint

Less than means smaller, and smaller numbers are to the left.

Level 2 Is the number part of the graph?

A. Is 6 part of the graph of n > 4?

Hint

6 > 4 is true, so 6 is shaded.

B. Is 4 part of the graph of n < 4?

Hint

n < 4 means strictly smaller than 4, and 4 is not smaller than itself.

Exit Ticket

Show You're Ready

1. To graph n > 2, shade numbers…

Hint

Greater than = bigger = right side of the line.

2. Is 1 part of the graph of n < 3?

Hint

1 < 3 is true, so 1 is shaded.

🎉 You're warmed up!

You've practiced exactly what Lesson 7-5 uses. Time to dive in.

Start Lesson 7-5 →