Two Step Inequalities with Graphs

The above graph shows an example of a System of Inequalities with _____________.

• Infinitely Many Solutions

• 1 Solution

• No Solutions

Tags

CCSS.HSA.REI.D.12

The above graph shows an example of a System of Inequalities that has ______________________.

• Infinitely Many Solutions

• 1 Solution

• No Solutions

Tags

CCSS.HSA.REI.D.12

When you solve a System of Inequalities, you graph the __________ side of the half-plane for each inequality and look for the region where the graphs overlap or intersect. You can find the correct half-plane by using a "test point" and substitution.

• false

• true

• neutral

Tags

CCSS.HSA.REI.D.12

The last step in Solving a System of Inequalities is to ____________________________________________________.

• shade in the darkest region where the 2 graphs overlap

• draw a dashed line with a solid line

• shade in the left side of the graph

Tags

CCSS.HSA.REI.D.12

The graph of 𝑦 ≤ 2𝑥 + 5 is shown below, which of the following ordered pair does not satisfies the inequality?

• (2, −5)

• (5, 2)

• (−2, 7)

• (5, −7)

Write the inequality

• y>-5x-3

• y≥-5x-3

• y<-5x-3

• y≤-5x-3

Tags

CCSS.HSA.REI.D.12

Diagram 2 shows two straight lines on a Cartesian plane. Which of the following regions define linear inequalities

y ≤ x + 5 and y ≥ 2 − x?

• I

• II

• III

• IV

Tags

CCSS.HSA.REI.D.12

Write the inequalities

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

The line that separates a half-plane for an Linear Inequality is referred to as a ______________________________.

• endpoint

• marker

• boundary

Tags

CCSS.HSA.REI.D.12

Which interval notation is represented by the graph?