Solving one-step linear inequalities

Solving one-step linear inequalities

We learn how to solve one-step linear inequalities in this lesson. Besides typical math questions, we are going to see word problems related to one-step linear inequalities and money.

Lessons

  • 1.
    i) What is an inequality?
    ii) How to solve linear inequalities?

  • 2.
    Solve.
    a)
    7x637x \le 63

    b)
    18x - \frac{1}{8}x > 5 - 5

    c)
    3x1.33 \ge \frac{x}{{1.3}}

    d)
    2.4x2.4x < 1.8 -1.8


  • 3.
    Determine if the solution is correct for each inequality.
    a)
    21.4x21.4 - x < 17 17; x=8x = 8

    b)
    25x5 - \frac{2}{5}x \le 5; x=2x = - 2

    c)
    313x31 \ge - 3x; x=1.5x = 1.5

    d)
    58x\frac{5}{8}x < 2.6 2.6; x=0.54x = 0.54


  • 4.
    In a pizza restaurant, you need to order a minimum of $30 of pizzas to get a free drink. If each pizza is $7.45, how many pizzas do you need to order to get the free drink?
    a)
    Use inequality to express the situation.

    b)
    Find the solution to the question.


  • 5.
    Anna wants to save up 15\frac{1}{5} of her total income each month. If she wants to save up $260 per month, how much money does she need to earn?
    a)
    Use an inequality to solve the question.

    b)
    Check your solution.