How do you graph #y+absx<3#?
graph{y + |x| < 3 [-10, 10, -5, 5]}
Plot the graph y = x + 3 until (0,3), then plot y = -x + 3 from (0,3). The inequality plot is the area these two linear plots shade. As the inequality is a < b and not a <= b, the lines that belong to both linear functions are not included in the inequality plot.
By signing up, you agree to our Terms of Service and Privacy Policy
To graph the inequality (y + |x| < 3):
- First, graph the boundary line, (y + |x| = 3). This line represents where the inequality is equal to 3.
- Rewrite the inequality as (y < -|x| + 3) to make it easier to graph.
- Since (|x|) is always non-negative, the term (-|x|) will always be negative or zero. So, it pulls the graph of the line downward.
- The boundary line (y = -|x| + 3) passes through the point (0,3) and has a slope of -1 for (x > 0) and a slope of 1 for (x < 0).
- Graph the boundary line as a dashed line because the inequality is less than, not equal to.
- Shade the region below the boundary line to represent the solution set since (y) is less than the expression.
- Additionally, you can note that this inequality represents the area between two lines that intersect at the point (0,3) and slope 1.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- There are five black cats and four gray cats in a cage and none of them want to be in there. the cage door opens briefly and two cats escape. What is the probability that both escaped cats are gray?
- How do you graph the function #y=3absx# over the domain #-3 <=x <=3#?
- How do you solve the inequality #4p-8<7-p#?
- How do you solve #abs(2x-5)> -1#?
- How do you solve #9-g<4#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7