Question

Graph the inequality and give interval notation for the solution. Use two o's (as in octopus) forinifinity and a U for union as needed.-- 5x + 4 >I 19 OR – 22 - 15 – 3-8 -7 -6 -5-4-3-2-] 022345678Clear All Draw:Interval notation for the above inequality and graph is

Answer 1

- 5x + 4 > 19

1st step let us move 4 to the other side by subtracting both sides by 4

- 5x + 4 - 4 > 19 - 4

- 5x > 15

2nd step is move - 5 to the other side by dividing both sides by -5, BUT when we divide the sides of an inequality by a negative number we must reverse the sign of inequality

`(-5x)/(-5)<(15)/(-5)`

x < -3

The solution is all values smaller than -3

On the number, line draw an empty circle at -3 then draw from it an arrow pointing to the left ( - ve infinity)

The solution is {x : x < -3} or (-00, -3)