Graph the inequality on the number line and then write it in interval notation.

Question

12x+4(x-3)<3x+53

Please help me write solution in interval notation and on the number line Thanks.

Answer 1

12 x + 4 ( x - 3 ) < 3 x + 53

12 x + 4 ∙ x + 4 ∙ (- 3 ) < 3 x + 53

12 x + 4 x - 12 < 3 x + 53

16 x - 12 < 3 x + 53

16 x - 3 x < 53 + 12

13 x < 65

x < 65 / 13

x < 5

x ∈ ( - ∞ , 5 ]