1. Inequalities
Friday, 22 February 2019

2. 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

3. Solving Inequalities
Example Solve each of the following inequalities
a) 3𝑥−1≤5
b) 4𝑥+7>3
c) 2𝑥−5≥10
d) 4𝑥−1<2
e) 5𝑦+6≥8

4. Example Solve each of the following inequalities
b) 3𝑥−2<10
c) 9 𝑥+2 >63
d) 9𝑥+3≤7𝑥+27
e) 7𝑥−2>4𝑥+10
f) 6𝑥+7≥𝑥+32
g) 3 2𝑥−3 <2 2𝑥+5
h) 4 𝑥−3 <3 10−𝑥

5. Example Solve each of the following inequalities
b) 𝑥 2 >36
c) 𝑥 2 −81≥0