Question

Solve the inequality and graph the solution.
–
3j+5>11
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer 1

Solve: -3j + 5 > 11

1. Subtract 5 from both sides:
-3j > 6

2. Divide both sides by -3 and reverse the inequality (because dividing by a negative flips the sign):
j < -2

Solution: j < -2

In interval notation: (-∞, -2)

Graph: open circle at -2 with an arrowed ray to the left (values less than -2).

ASCII sketch:
... ←————○————0————→
-2