Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
⎩⎨⎧n>0s>0x>0⎩⎨⎧n>0s<0x<0⎩⎨⎧n<0s>0x<0⎩⎨⎧n<0s<0x>0
Evaluate
senx>0
Use the commutative property to reorder the terms
esnx>0
Evaluate
snx>0
Separate the inequality into 2 possible cases
{s>0nx>0{s<0nx<0
Separate the inequality into 2 possible cases
⎩⎨⎧s>0{n>0x>0{n<0x<0{s<0nx<0
Separate the inequality into 2 possible cases
⎩⎨⎧s>0{n>0x>0{n<0x<0⎩⎨⎧s<0{n>0x<0{n<0x>0
Find the intersection
⎩⎨⎧n>0s>0x>0⎩⎨⎧n<0s>0x<0⎩⎨⎧s<0{n>0x<0{n<0x>0
Find the intersection
⎩⎨⎧n>0s>0x>0⎩⎨⎧n<0s>0x<0⎩⎨⎧n>0s<0x<0⎩⎨⎧n<0s<0x>0
Solution
⎩⎨⎧n>0s>0x>0⎩⎨⎧n>0s<0x<0⎩⎨⎧n<0s>0x<0⎩⎨⎧n<0s<0x>0
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