8A F11 Q5 - Revision history

Matt Lee at 06:53, 14 April 2015

2015-04-14T06:53:24Z

2015-04-08T15:19:16Z

2015-04-08T15:17:15Z

2015-04-06T22:22:28Z

2015-04-06T22:21:39Z

2015-03-23T02:23:55Z

2015-03-22T22:52:19Z

2015-03-22T06:19:30Z

Created page with "'''Question: '''Graph the system of inequalities <math>y < \vert x\vert +1 </math> <math>x^2 + y^2 \le 9</math>"

New page

'''Question: '''Graph the system of inequalities <math>y < \vert x\vert +1 </math>           <math>x^2 + y^2 \le 9</math>

@@ Line 46: / Line 46: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 ! Step 3:
 |-
 |The final solution is the portion of the graph that below <math>y = \vert x\vert + 1</math> and inside <math> x^2 + y^2 = 9</math>

@@ Line 47: / Line 47: @@
 ! Step 3:
 |-
-|The final solution is the portion of the graph that below <math>y = \abs{x} + 1</math> and inside <math> x^2 + y^2 = 9</math>
+|The final solution is the portion of the graph that below <math>y = \vert x\vert + 1</math> and inside <math> x^2 + y^2 = 9</math>
 |}
 [[8AF11Final|<u>'''Return to Sample Exam</u>''']]

@@ Line 47: / Line 47: @@
 ! Step 3:
 |-
-|The final solution is the portion of the graph that is shaded by both inequalities
+|The final solution is the portion of the graph that below <math>y = \abs{x} + 1</math> and inside <math> x^2 + y^2 = 9</math>
 |}
 [[8AF11Final|<u>'''Return to Sample Exam</u>''']]

← Older revision		Revision as of 22:22, 6 April 2015
Line 50:		Line 50:
	\|}		\|}

−	[[8AF11Final\|<u>'''Return to Exam</u>''']]	+	[[8AF11Final\|<u>'''Return to Sample Exam</u>''']]

← Older revision		Revision as of 22:21, 6 April 2015
Line 49:		Line 49:
	\|The final solution is the portion of the graph that is shaded by both inequalities		\|The final solution is the portion of the graph that is shaded by both inequalities
	\|}		\|}
		+
		+	[[8AF11Final\|<u>'''Return to Exam</u>''']]

@@ Line 20: / Line 20: @@
 ! Step 1:
 |-
-|The zeros of the left hand side are <math>-\frac{1}{2}</math>, 1, and 4
+|First we replace the inequalities with equality. So <math>y = \vert x\vert + 1</math>, and <math>x^2 + y^2 = 9</math>.
 |}

← Older revision		Revision as of 22:52, 22 March 2015
Line 1:		Line 1:
	'''Question: '''Graph the system of inequalities <math>y < \vert x\vert +1 </math>           <math>x^2 + y^2 \le 9</math>		'''Question: '''Graph the system of inequalities <math>y < \vert x\vert +1 </math>           <math>x^2 + y^2 \le 9</math>
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Foundations
		+	\|-
		+	\|1) What do the graphs of <math>y=\vert x\vert + 1</math>, and <math>x^2 + y^2 = 9</math> look like?
		+	\|-
		+	\|2) Each graph splits the plane into two regions. Which one do you want to shade?
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|1) The first graph looks like a V with the vertex at (0, 1), the latter is a circle centered at the origin with radius 3.
		+	\|-
		+	\|2) Since the Y-value must be less than <math>\vert x\vert + 1</math>, shade below the V. For the circle shde the inside.
		+	\|}
		+
		+	Solution:
		+
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|The zeros of the left hand side are <math>-\frac{1}{2}</math>, 1, and 4
		+	\|}