Question

Solve the inequality and graph the solution.
–
2>12+14q
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: -2 > 12 + 14q

Step 1: subtract 12 from both sides:
-2 - 12 > 14q → -14 > 14q

Step 2: divide both sides by 14 (positive, so inequality direction stays):
-14/14 > q → -1 > q

So q < -1.

Interval notation: (-∞, -1).

Graph: on a number line put an open circle at -1 and draw a ray/arrow extending left from -1 (indicating all values less than -1).