Question

5. Solve l4x -7l =5 for x
The 4x-7 is in absolute value

Answer 1

x = 1/2 or x = 3

Explanation:

Solve for x over the real numbers:

abs(7 - 4 x) = 5

Split the equation into two possible cases:

7 - 4 x = 5 or 7 - 4 x = -5

Subtract 7 from both sides:

-4 x = -2 or 7 - 4 x = -5

Divide both sides by -4:

x = 1/2 or 7 - 4 x = -5

Subtract 7 from both sides:

x = 1/2 or -4 x = -12

Divide both sides by -4:

Answer: x = 1/2 or x = 3