How do you graph the inequality #y>=-1#, #x>=3#?

Answer 1

See a solution process below:

First, we can graph the inequality #y >= -1# as:

  • A solid line at #-1# on the vertical access, The line is solid because the inequality operator contains an "or equal to" clause.
  • Shade above the line because the inequality operation contains a "greater than" clause

    graph{ y >= -1[-10, 10, -5, 5]}

    First, we can graph the inequality #x >= 3# as:

    • A solid line at #3# on the horizontal access, The line is solid because the inequality operator contains an "or equal to" clause.
    • Shade to the right of the line because the inequality operation contains a "greater than" clause

      graph{ x >= 3[-10, 10, -5, 5]}

      Now, we can show where the two graphs intercept:

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 \geq -1 ) and ( x \geq 3 ), you would:

  1. Draw a solid horizontal line at ( y = -1 ) to represent ( y \geq -1 ).
  2. Shade the region above the line because it includes all points where ( y ) is greater than or equal to -1.
  3. Draw a solid vertical line at ( x = 3 ) to represent ( x \geq 3 ).
  4. Shade the region to the right of the line because it includes all points where ( x ) is greater than or equal to 3.
  5. The shaded regions where both conditions are satisfied (above the horizontal line and to the right of the vertical line) represent the solution set for the system of inequalities.
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