Answer :
The solutions to the modulus functions are 7/ 3, 7 and 0. 6 accordingly
How to solve the equations
Note that a modulus function gives the size or magnitude of a number irrespective of its sign.
It is also called the absolute value of a given function. It is denoted by |x|
1. |2−3x|=9
First, collect like terms
|-3x| = 9 - 2
|-3x| = 7
Make 'x' the subject
|x| = -7/3
|x| = 7/ 3
2. 8+|2x−2|=20
collect like terms
|2x - 2| = 20 -8
|2x| = 12+ 2
|2x| = 14
Make 'x' the subject
|x| = 7
3. 35|x+1|=56
|x + 1| = 56/35
|x + 1| = 1. 6
Make 'x' the subject
|x| = 1. 6 - 1
|x| = 0. 6
Thus, the solutions to the modulus functions are 7/ 3, 7 and 0. 6 accordingly.
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