Question
Question: How do you solve \(\left| 2x-3 \right|=7\) ?...
How do you solve ∣2x−3∣=7 ?
Explanation
Solution
We recall the definition of absolute value function and the break point of absolute value function. We recall that the break point of ∣ax+b∣ is the solution of ax+b=0 where the definition of absolute value function changes. We find the break point of ∣2x−3∣ and solve accordingly.
Complete step by step solution:
We know that of absolute value function of modulus function denoted as ∣x∣ returns a non-negative value without regard for the input of the functions. It is defined in piecewise manner as;