Example Solve 2 x + 10 < 3 (x +5) , x Î R. Graph the solution set.
Solution : 2 x + 10 < 3 x + 15
2 x  3 x < 15  10
 x < 5
x > 5 . . . ( on multiplying by 1)
Example Solve 7 £ 4 x + 2 £ 12, x Î R. Graph the solution set on the number line .
Solution: 7 £ 4 x + 2 £ 12
2  2 2 . . . (subtracting  2 throughout)
5 £ 4 x £ 10
Dividing by 4 throughout,
Example Graph the set of x such that 1 £ x £ 2 and x is an integer
Solution : { x  1 £ 2, x is an integer }
Example Graph as indicated
1) Graph the set of x such that x ³ 2
2) Graph the set of x such that x > 3
3) Graph the set of x such that x < 3
4) Graph the set of x such that x £ 2
Solution : 1) { x  x ³ 1 }
2) { x  x > 3 }
3) { x  x < 3}
4) {x  x £ 2}
