| 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} 
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7.1 Definition |
