EXPRESSIONS, EQUATIONS AND INEQUALITIES Ch. 2.8 Two- Variable Inequalities EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

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Presentation transcript:

EXPRESSIONS, EQUATIONS AND INEQUALITIES Ch. 2.8 Two- Variable Inequalities EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

BELL WORK EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

TWO- VARIABLE INEQUALITIES READ While the steps involved in solving a linear inequality may seem straightforward, this knowledge opens the door to many advanced mathematical concepts. You may now extend your investigation in to the two-variable coordinate plane by graphing two- variable inequalities. The principles learned in this lesson will also apply to linear programming problems. Understand that the graph of a linear inequality contains all points on one side of a line and may or may not include the points on the line. EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

TWO-VARIABLE INEQUALITIES graphing-lines-slope/core-algebra-graphing-linear- inequalities/v/solving-and-graphing-linear-inequalities-in-two- variables-1https:// graphing-lines-slope/core-algebra-graphing-linear- inequalities/v/solving-and-graphing-linear-inequalities-in-two- variables-1 EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

GRAPHING LINEAR INEQUALITIES What is the graph of each inequality? 1.Y>3x -1 2.Y< 3x-1 EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

GRAPHING LINEAR INEQUALITIES Now you try… What is the graph of the inequality? Y>-2x+1 EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

STOP AND TALK… Discussion points…  You have plenty of experience with graphing inequalities on a number line. How is the concept the same when graphing linear inequalities on a coordinate plane? EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

GRAPHING AN ABSOLUTE VALUE INEQUALITY What is the graph of 1-y<|x+2| EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

GRAPHING AN ABSOLUTE VALUE INEQUALITY Now you try… What is the graph of y-4 > 2|x-1| EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

STOP AND TALK Discussion Points…  How is graphing an absolute value inequality similar to graphing a linear inequality?  How is it different? EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

WRITING AN INEQUALITY BASED ON A GRAPH What inequality does this graph represent? EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

WRITING AN INEQUALITY BASED ON A GRAPH Now you try… What inequality does the graph represent? EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.

CLOSURE (On your bell sheet) EQ: HOW CAN WE GRAPH TWO-VARIABLE INEQUALITIES? I WILL GRAPH TWO-VARIABLE INEQUALITIES.