Correct: 0 / 56
Section 2.6 · Algebra

Inequalities

Understand and use inequalities, and show them on a number line.

6 teaching slides 56 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

Teaching this in class? Open the presentation version.

Full-screen dark deck for the projector — bullets reveal one at a time, the videos for this section are built in, plus an interactive tool, quick check questions and speaker notes. One self-contained file: download it and it works with nothing else installed.

Open presentation ↗ All decks

2 · Key words

inequalityA statement that one quantity is greater or less than another, written with < or >.
less than (<)The symbol meaning the left side is smaller.
greater than (>)The symbol meaning the left side is larger.
integerA positive or negative whole number, including zero.
open circleThe unfilled circle on a number line showing that the value itself is not included.

3 · Summary of the sectionrevise from this

  • < means “is less than”, > means “is greater than”. The wide end always faces the larger quantity.
  • x > 5 means x is bigger than 5. The smallest integer is 6, because 5 itself is not allowed.
  • y < 2 means y is smaller than 2. The largest integer is 1.
  • On a number line use an open circle at the boundary, because that value is not included.
  • The arrow points right for > and left for <.
  • You cannot list every solution — there are infinitely many — so list the first few and write “…”.
  • Two inequalities together trap a value: x > 2 and x < 7 gives the integers 3, 4, 5, 6.
  • You solve an inequality just like an equation: 3x + 1 > 16 → 3x > 15 → x > 5.
PDFPrintable worksheet All 56 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons3 videos

Inequalities

British Corbettmaths

What the symbols mean and how to read an inequality aloud.

Inequalities on a number line

British Corbettmaths

Open and closed circles, and which way the arrow points.

Solving inequalities

British stretchCorbettmaths

Solving an inequality with the same steps as an equation.

These players need an internet connection. Everything else on this site works offline.

4 · Practice56 questions, easiest first

Previous

2.5 Constructing and solving equations
Next

End-of-unit {UNUM} test