Refresher on Graphing Linear Inequalities

Refresher on Graphing Inequalities

What will I need to know for the Final Exam???

Graphing Linear Inequalities

Graphing Linear Inequalities

Systems of Inequalities

These show the intersection region (solution region) of 2 or more inequalities.

In this case the SOLUTION REGION is blue and pink (the "right" section where the C is)

(0,0) (2,0) (2,4) (3,-5) are examples of solution points

Refresh Word Problems

Doing dishes: $2

Doing laundry: $5

If Peyton wants to make at least $20, write an inequality to show how many times she must do dishes and do laundry.

2x + 5y > 20

Multiple Choice

How can I tell if an inequality will have a dashed line?

• It has an equal sign.

• The symbol is greater than or less than.

• The symbol has "or equal to."

• You just guess.

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dotted with shading above.

• The line would be solid with shading below.

• The line would be dotted with shading below.

Multiple Choice

How can I tell if an inequality will have a solid line?

• It does not have an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Multiple Choice

What graph matches THIS inequality?

Multiple Choice

Which of the following inequalities match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤ 2/5x + 1

• y ≥ -2/5x - 1

Multiple Choice

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < 2

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < -2

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Multiple Choice

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150