Question

the maximum value of 23 minus modulus 2 x+3 modulus is

Answer 1

Hey There,

Here, We have to find the maximum value of:  
$23-\mid 2x+3 \mid$


One thing is clear that, if we want the maximum value, we will have to find the minimum value of $\mid 2x+3 \mid$ 
Minimum value of anything inside Modulus is ZERO. Here, 
$\mid 2x+3 \mid = 0 \textrm{ at } x=-\frac{3}{2}$ 

Thus, maximum value would be: 

$MaxValue = 23 - \mid 2x+3 \mid_{min} \\ \\ \implies MaxValue = 23-0 \\ \\ \implies\boxed{MaxValue=23}$

Hope it helps
Purva
Brainly Community

Answer 2

$\huge \red \bigstar \:\sf \color{blue}Solution \:$

$\sf \: 23 \: |2 x + 3|$


$\sf \: Maximum \: value \: of \: 23 -|2 x + 3 |$


$\sf \: will \: be \: when \: |2x + 3| \: is \: minimum$

$\sf \therefore Minimum \: value \: of \: modulus = 0$

$\sf \: for \: minimum \: value \: |2x + 3| = 0$

$\sf \: 23 - |2x + 3| = 23 - 0 = 23$