Question

Solve the inequality. Then graph the solution and give interval notation.

8x + 6 < 14.
Interval notation for the above graph and inequality is?

Answer 1

To solve the inequality 8x + 6 < 14, subtract 6 from both sides and then divide by 8 to isolate x, which gives x < 1. The graph includes an open circle at 1 with shading to the left, and the interval notation is (-∞, 1).

Step-by-step explanation:

To solve the inequality 8x + 6 < 14, first subtract 6 from both sides of the inequality:

8x + 6 - 6 < 14 - 6

8x < 8

Now divide both sides of the inequality by 8 to solve for x:

x < 1

The solution to the inequality is all values of x that are less than 1. To graph this on a number line, draw an open circle at 1 to indicate that 1 is not included, and shade all the numbers to the left of 1. The interval notation for this solution is (-∞, 1).