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)



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