Solve each of the following in equations and represent the solution set on the number line.
5x + 2 < 17, where (i) x ϵ Z, (ii) x ϵ R.
(i) 5x + 2 < 17, x є Z
Subtracting 2 from both the sides in the above equation,
5x + 2 – 2 < 17 – 2
5x < 15
Dividing both the sides by 5 in the above equation,
x < 3
Since x is an integer
Therefore, possible values of x can be
x = {…, -2, -1, 0, 1, 2}
(ii) 5x + 2 < 17, x є R
Subtracting 2 from both the sides in above equation
5x + 2 – 2 < 17 – 2
5x < 15
Dividing both the sides by 5 in above equation
x < 3
Therefore, x є (-∞, 3)