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National
Medium
Functions
10–12
What is the sum of the solutions of
∣
2
x
−
5
∣
=
7
|2x - 5| = 7
∣2
x
−
5∣
=
7
?
Qual é a soma das soluções de
∣
2
x
−
5
∣
=
7
|2x - 5| = 7
∣2
x
−
5∣
=
7
?
Answer options
A.
7
7
7
B.
5
5
5
C.
6
6
6
D.
1
1
1
Check Answer
Solution
Step 1 of 3
1.
A modulus equation splits into two cases:
2
x
−
5
=
7
2x - 5 = 7
2
x
−
5
=
7
and
2
x
−
5
=
−
7
2x - 5 = -7
2
x
−
5
=
−
7
.
Next step
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