Inequalities x > a Means x is greater than a x < b Means x is less than b x  a Means x is greater than or equal to a x  a Means x is less than or equal to a a < x < b Means x lies between a and b

Example Represent each of the following inequalities on the number line a) x > 3 b) x  1 c) x ≥ -2 d) 1 < x < 3 e) -2  x < 0 f) x < -3, x ≥ -1 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x

x x x x x Example Write down the inequality for each of the following b) c) d) e) 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x 1 2 3 4 5 6 7 -1 -2 -3 -4 -5 -6 -7 x

Solving Inequalities Example Solve each of the following inequalities a) b) c) d) e)

Solving Inequalities Example Solve each of the following inequalities a) b) c) d) e)

Solving Inequalities Example Solve each of the following inequalities a) b) c) d) e)