What is the answer to |(2m+5)/7 |=1 ?

The answer to |(2m+5)/7 |=1 is m=-6\lor m=1

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|(2m+5)/7 |=1

\frac{2 m + 5}{7} = 1

m = - 6 or m = 1

Solution steps

\frac{2 m + 5}{7} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2 m + 5}{7} = - 1 or \frac{2 m + 5}{7} = 1

\frac{2 m + 5}{7} = - 1 or \frac{2 m + 5}{7} = 1

m = - 6 or m = 1

2 ∣ 5 x ∣ + 7 = - 5

∣ 6 c - 18 ∣ = 30

2 ∣ 8 x + 5 ∣ + 10 = 32

∣ x ∣ - 5 = 0

20 - 4 ∣ a ∣ = 12

What is the answer to |(2m+5)/7 |=1 ?
The answer to |(2m+5)/7 |=1 is m=-6\lor m=1
Solve for m: |(2m+5)/7 |=1
The solution is m=-6\lor m=1