College Algebra CLEP Prep Practice Exam

Graph the solution set of |x+2|>4 on a number line.

1. {x|x<-6}

2. {x|x>-6}

3. {x|x≤-6}

4. {x|x≥-6}

The correct answer is: {x|x≥-6}

The inequality given in the question means that the distance between x and -2 is greater than 4. This can be represented on a number line by marking a point at -2 and then drawing a circle with a radius of 4 units around it. Since the inequality includes a greater than symbol (>), the numbers on the number line to the right of the circle will be included in the solution set. This means that all numbers greater than or equal to -6 will satisfy the inequality. Therefore, the correct solution set is {x|x≥-6}. Option A This option is incorrect because it represents the solution set for a less than symbol (<) instead of a greater than symbol (>), which is what the inequality in the question is asking for. Option B: This option is also incorrect because it only includes numbers that are greater than -6, but does not include