Solve: |2x + 3| -1 < 4
2 answers:
Add 1
|2x +3| < 5
Unfold
-5 < 2x +3 < 5
Subtract 3
-8 < 2x < 2
Divide by 2
-4 < x < 1
The solution is
-4 < x < 1
_____
If you subtract 4 from both sides, you get an expression that compares to zero. Most graphing calculators will show you the zero-crossings, so you can easily find the values of x where this is true.
|2x +3| < 5
Unfold
-5 < 2x +3 < 5
Subtract 3
-8 < 2x < 2
Divide by 2
-4 < x < 1
The solution is
-4 < x < 1
_____
If you subtract 4 from both sides, you get an expression that compares to zero. Most graphing calculators will show you the zero-crossings, so you can easily find the values of x where this is true.
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Step-by-step explanation:
H(x)=
If g(x) values =0, h(x) will be undefined.
So f(x)=0, h(x) will be undefined.
Zo find values of f(x) equal 0.
That is when x=2. So the answer to first solution is 2.
h(x) is negative when (-oo, -3) U (2,oo)