Solving multi-step linear inequalities

All You Need in One Place

Everything you need for better marks in primary, GCSE, and A-level classes.

Learn with Confidence

We’ve mastered the UK’s national curriculum so you can study with confidence.

Instant and Unlimited Help

24/7 access to the best tips, walkthroughs, and practice questions.

0/1
?
Intros
Lessons
  1. i) What is an inequality?
    ii) How to solve linear inequalities?
    iii) How to graph inequalities on a number line?
0/7
?
Examples
Lessons
  1. Solve.
    1. 10x25=5x10x - 25 = - 5x
    2. 12.47.2x10x1512.4 - 7.2x \le 10x - 15
    3. 383x18x2 - \frac{3}{8} - 3x \le \frac{1}{8}x - 2
    4. 14x+234(3x5)\frac{1}{4}x + 2 \le - \frac{3}{4}\left( {3x - 5} \right)
  2. Bob works for car dealer A which offers him a base rate of $800 and $15 for every car he sells. Tom works for car dealer B which gives him a base rate of $700 and $20 for each car he sells. If they sold the same number of cars last month, and Tom earned more than Bob. What is the minimum number of cars Tom sold last month?
    1. Express the problem in an inequality.
    2. Solve the inequality.
  3. The cost of a charity dinner is $300 plus $18 per guest. The ticket to the dinner is $30 per person. How many tickets must be sold to cover the costs?
    0%
    ?
    Practice