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:
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