← Day 6
UNIT 5 / 8 · LESSON 3 / 4 · 24 MINUTES

Interpret limits and feasible answers

An inequality describes a set of possible values. The context decides whether a boundary or whole-number answer is allowed.

01 / THE METHOD

Make it repeatable

  1. Translate phrases such as “at most” and “at least.”
  2. Solve as an equation first, then preserve the inequality direction.
  3. Reverse the sign when multiplying or dividing by a negative.
  4. Check whole-number and contextual restrictions.
02 / WORKED EXAMPLE

Watch the method in action

Tickets cost 7 dollars each and you have at most 30 dollars. How many whole tickets can you buy?
  1. Write 7t ≤ 30.
  2. Divide by 7 to get t ≤ 30/7.
  3. Since t is a whole number, the maximum is 4.

Four tickets cost 28 dollars; five would exceed the limit.

03 / QUICK CHECK

Try it yourself

What is the maximum number?

04 / PRACTISE AND CHECK

Apply the method to real questions

Start with guided questions and feedback. Then take a fresh independent set without hints. Reach at least 80% on that set to record this lesson.

Pass the quick check above to unlock practice.