Numerical : Solve 30 x < 160 when ( i ) x is a natural number , ( ii ) x is an integer , ( iii ) x is real number
Solution : Dividing the inequality by 30 as per rule 2 . 30 / 30 x < 160 / 30
Or x < 16 / 3
Case 1 : X is a natural number . Then solution set is { 1,2,3,4,5 } Case 2 : X is an integer . Then solution set is {…… -4 , -3 , -32 , -1,0,1,2,3,4,5 } Case 3 : X is a real number . Then solution set is (– ∞ , 16 / 3 ). We can represent case 3 solution using number line
Numerical : Solve 7x + 2 ≤ 5x + 8 . Show the graph of the solutions on number line .
Solution : Subtracting 2 from both side we get 7x ≤ 5x + 6
Subtracting 5x from both side we get
2x ≤ 6 Dividing 2 both side we get x ≤ 3 We can represent this in Number line below .