Question

Solve the inequality and express your answer in interval notation. - 12x+3 <0

Answer 1

Answer:

  (1/4, ∞)

Step-by-step explanation:

You want to write the solution to a two-step linear inequality in interval notation. The inequality is -12x +3 < 0.

Solution

Adding 12x to both sides gives ...

  3 < 12x

Dividing by 12 tells you the solution:

  1/4 < x

Interval notation

Interval notation is used to express an interval using an ordered pair for the lower and upper bounds. The brackets used for the ordered pair are chosen according to whether the bound is included in the interval [square brackets], or not (parentheses).

For the solution to this problem, the lower bound of 1/4 is not included in the interval. The upper bound is positive infinity, so no specific value is included at that end of the interval, either.. The interval notation form of the solution expression is ...

  (1/4, ∞)