Inequalities

After studying this section, you will be able to:

  • solve inequalities with one variable
  • solve inequalities with two variables

Inequalities in one variable

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NOTE:

When working with a double inequalities start by solving the two inequalities. An integer is any whole number, positive negative or zero.


When solving inequalities do not forget that multiplying or dividing by a negative number reverses the inequality sign:

−x > 3, becomes x < −3 (multiplying by −1).

Inequalities in two variables

This is an inequality in two variables 2x - y > 1

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NOTE:Remember an equation in the form y = 2x – 1 has gradient 2 and y-intercept (where it crosses the y-axis) of –1, 

in other words y = (gradient) x + (y -intercept)

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PROGRESS TEST

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