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Find all values of x in the interval [0, 2π] that satisfy the inequality. (Enter your answer using interval notation.)

 

−7 < 7 tan(x) < 7

 Jan 23, 2019

Best Answer 

 #1
avatar+3922 
+2

\(-7 < 7 \tan(x) < 7\\ -1 < \tan(x) < 1\)

 

\(\text{the easiest way to find }x \text{ is to look at at he graph of }\tan{x} \)

 

\(\text{we see the inequality is satisfied for }\\ x \in \left[0,\dfrac \pi 4\right) \cup \left(\dfrac{3\pi}{4},\dfrac{5\pi}{4}\right)\cup \left(\dfrac{7\pi}{4},2\pi\right]\)

.
 Jan 23, 2019
 #1
avatar+3922 
+2
Best Answer

\(-7 < 7 \tan(x) < 7\\ -1 < \tan(x) < 1\)

 

\(\text{the easiest way to find }x \text{ is to look at at he graph of }\tan{x} \)

 

\(\text{we see the inequality is satisfied for }\\ x \in \left[0,\dfrac \pi 4\right) \cup \left(\dfrac{3\pi}{4},\dfrac{5\pi}{4}\right)\cup \left(\dfrac{7\pi}{4},2\pi\right]\)

Rom Jan 23, 2019

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