How do you represent the inequality $$y \leq 2x - 1$$ on a graph?

To graph $$y \leq 2x - 1$$ , draw the line $$y = 2x - 1$$ as a solid line (since it includes equality) and shade below the line.

What does it mean if the inequality symbol is $$>$$ or $$\ge$$ ?

If the inequality symbol is $$>$$ or $$\ge$$ , you shade above the line on the graph.

What type of line is used for inequalities with $$ $$ ?

For inequalities with $$ $$ , a dotted line is used to indicate that points on the line are not included in the solution.

What is the solution to the system of inequalities $$y \geq -x - 1$$ and $$y

The solution is the region where the graphs of both inequalities overlap, which is above the line $$y = -x - 1$$ and below the line $$y = x + 4$$ .

How do you determine the boundary line for the inequality $$y

The boundary line is $$y = 2x - 1$$ , which is drawn as a dotted line because the inequality is strict (

What is the difference between a solid line and a dotted line in graphing inequalities?

A solid line indicates that points on the line are included in the solution (for $$\leq$$ or $$\geq$$ ), while a dotted line indicates that points on the line are not included (for $$ $$ ).

If you have the inequality $$x \leq -1$$ , where do you shade on the number line?

You shade to the left of -1, including -1 itself.

What does the inequality $$y > -2x + 3$$ represent graphically?

It represents the region above the line $$y = -2x + 3$$ , which is drawn as a dotted line.

How do you solve a system of inequalities graphically?

To solve graphically, graph each inequality on the same coordinate plane and identify the overlapping region.

What is the significance of the intersection of two inequalities?

The intersection represents the set of solutions that satisfy both inequalities simultaneously.

What does the inequality $$y \geq 2x - 1$$ imply about the line $$y = 2x - 1$$ ?

It implies that the line is solid and the region above the line is included in the solution.

How can you tell if a point is a solution to a system of inequalities?

A point is a solution if it satisfies all inequalities in the system when substituted into them.

What is the graphical representation of the inequality $$y

The graphical representation is a dotted line for $$y = -x + 4$$ with shading below the line.

Dec 06_Systems of Inequalities Flashcards

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1.

FLASHCARD QUESTION

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

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CCSS.HSA.REI.D.12

2.

FLASHCARD QUESTION

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Back

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CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

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CCSS.HSA.REI.D.12

4.

FLASHCARD QUESTION

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CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

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CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

Back

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CCSS.HSA.REI.D.12

7.

FLASHCARD QUESTION

Front

What does shading above a line indicate in a graph of inequalities?

Back

Shading above a line indicates that the solutions to the inequality are all the points above that line.

Tags

CCSS.HSA.REI.D.12

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