studyopen101
solve the inequality x^2+x6>or equal to4 by using a table and a graph



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Mr.Math
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\[x^2+x6\ge 4 \implies x^2+x2\ge0 \implies (x+2)(x1)\ge0 \]

FoolForMath
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4
\( \Rightarrow x \le 2 \text{ or } x \gt 1 \)

Mr.Math
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Now, you need to study the intervals as shown below:
2 1

 + + x+2
  + x1
+  + (x+2)(x1)

Mr.Math
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So our intervals are then \((\infty,2] + [1,\infty) \).

FoolForMath
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4
Just a minute typo: \[ \Rightarrow x \le 2 \text{ or } x \ge 1 \]

Mr.Math
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Yeah.

studyopen101
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Thanks!

Mr.Math
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What's the latex for union? @FFM

FoolForMath
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4
\( \cup \cap \)

Mr.Math
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lol

FoolForMath
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;)