How do you graph #y+absx<3#?

Answer 1

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.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To graph the inequality (y + |x| < 3):

  1. First, graph the boundary line, (y + |x| = 3). This line represents where the inequality is equal to 3.
  2. Rewrite the inequality as (y < -|x| + 3) to make it easier to graph.
  3. Since (|x|) is always non-negative, the term (-|x|) will always be negative or zero. So, it pulls the graph of the line downward.
  4. 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).
  5. Graph the boundary line as a dashed line because the inequality is less than, not equal to.
  6. Shade the region below the boundary line to represent the solution set since (y) is less than the expression.
  7. Additionally, you can note that this inequality represents the area between two lines that intersect at the point (0,3) and slope 1.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7