On-Ramp · Grade 6 · 6.AT.C.9

Inequalities Like x > 5: From Words to Symbols

I can write an inequality (x > c or x < c) from a real-life sentence.

📘 Word Bank + Sentence Frames

greater than (>)less than (<)at least (≥)at most (≤)variable x

  • "more than / greater than" → >  ·  "fewer than / less than" → <
  • "at least" → ≥  ·  "at most / no more than" → ≤
  • Frame: "Let x = ____. The inequality is x ____ ____."

👀 See It: A Worked Example

"You must be more than 5 years old to ride." Let x = your age.

WordsInequality
more than 5x > 5

On a number line, x > 5 uses an open circle at 5 (5 is not included) with the arrow going right.

✏️ Your Turn

0 of 3 checks complete

1. "The temperature is less than 10°." Which inequality? (Let t = temperature.)

2. "You need more than 3 tickets." Which inequality? (Let x = tickets.)

3. The phrase "less than" matches which symbol?

💬 Explain Your Thinking

Write your own real-life inequality:

"Let x = blank. In my situation, x blank blank because blank."