Foundations of Pure Mathematics (Core Algebra and Number)
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The diagram displays the modulus equation \( |2x-3|=x+4 \). Which is its complete solution set?
Modulus equation
Required reasoning
\(|2x-3|=x+4\)
Split where \(2x-3=0\); solve both sign cases
Select the exact answer.
Select one option.
A
\(\{-1,7\}\)
B
\(\{7\}\)
C
\(\varnothing\)
D
\(\{-\tfrac13,7\}\)
E
\(\{-7,\tfrac13\}\)
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