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Answer :
The correct option is option C: x<23
What is inequality?
Inequality is the non-equal relation between two statements showing relations like greater than, greater than equals to, lesser than, lesser than equals to, etc
Here given that there is only $32 in hand to spend.
And the bowling game costs= $11
shoe rental costs =$3.75
each arcade game costs $0.75
let's assume no. of arcade games she can play =x
x arcade games will cost to play=$0.75*x=0.75x
so that the total cost should not exceed $32 i.e. total cost is less than $32.
The inequality expression will be
Total cost to play < $32
⇒the bowling game cost + shoe rental cost + arcade game playing cost< $32
⇒ $11+ $3.75+ $0.75x< $32
solving this inequality,
⇒ $14.75+ $0.75x< $32
⇒ $0.75x< $32- $14.75
⇒$0.75x< $17.25
⇒x<17.25/0.75
⇒x<23
Therefore she can play no. of arcade games which should be less than 23.
Therefore The correct option is option C: x<23
Learn more about inequality
here: https://brainly.com/question/11613554
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