004 Sample Final A, Problem 3 - Revision history

Kayla Murray at 22:27, 4 May 2015

2015-05-04T22:27:34Z

2015-05-01T04:08:36Z

2015-04-28T22:12:46Z

Created page with "<span class="exam"> Solve. Provide your solution in interval notation. <math>\vert 4x + 7\vert \ge 5</math>"

New page

<span class="exam"> Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>

@@ Line 3: / Line 3: @@
 ! Foundations
 |-
+|1) What is the solution to <math>|x|\geq 3</math>?
 |-
 |Answer:
 |-
+|1) The solution is <math>x\geq 3</math> or <math>x\leq -3</math>.
 |}
@@ Line 16: / Line 20: @@
 ! Step 1:
 |-
+|The inequality above means <math>4x+7\geq 5</math> or <math> 4x+7\leq -5</math>.
 |}
@@ Line 24: / Line 26: @@
 ! Step 2:
 |-
+|Subtracting 7 from both sides of the inequalities, we get <math>4x\geq -2</math> or <math>4x\leq -12</math>.
 |}
@@ Line 30: / Line 32: @@
 ! Step 3:
 |-
+|Dividing both sides of the inequalities by 4, we have <math>x\geq -\frac{1}{2}</math> or <math>x\leq -3</math>.
 |}
@@ Line 42: / Line 38: @@
 ! Step 4:
 |-
+|Using interval notation, the solution is <math>(-\infty,-3]\cup [-\frac{1}{2},\infty)</math>.
 |}
@@ Line 52: / Line 44: @@
 ! Final Answer:
 |-
+|<math>(-\infty,-3]\cup [-\frac{1}{2},\infty)</math>
 |}
 [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

← Older revision		Revision as of 04:08, 1 May 2015
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	<span class="exam"> Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>		<span class="exam"> Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Foundations
		+	\|-
		+	\|
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+
		+	Solution:
		+
		+	{\| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 2:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 3:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 4:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Final Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+	[[004 Sample Final A\|<u>'''Return to Sample Exam</u>''']]