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At tennis practice, Tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his serve and practices his serve more than 1/2 hour daily.
Which system of inequalities represents Tim’s daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve?
 

The images below are the possible answers,

At tennis practice Tim practices his backhand and his serve at least 2 hours each day He works less on his backhand than his serve and practices his serve more class=
At tennis practice Tim practices his backhand and his serve at least 2 hours each day He works less on his backhand than his serve and practices his serve more class=
At tennis practice Tim practices his backhand and his serve at least 2 hours each day He works less on his backhand than his serve and practices his serve more class=
At tennis practice Tim practices his backhand and his serve at least 2 hours each day He works less on his backhand than his serve and practices his serve more class=

Respuesta :

Palmetto18
He practices his backhand(x) and serve(y) AT LEAST(≥) 2 hours each day
x+y≥2

He practices his backhand(x) LESS THAN(<) his serves(y)
x<y

He practices his serves(y) MORE THAN(>) .5 hours
y>.5

Answer:

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Step-by-step explanation:

Let  x represents the number of hours spent practicing his backhand

Let y represents the number of hours practicing his serve.

Since we are given that Tim practices his backhand and his serve at least 2 hours each day i.e. he practices his backhand and serves for two hours or more than two hours

⇒ x+y≥2 --(a)

We are also given that He works less on his backhand than his serve

⇒x < y --(b)

And we are also given that he practices his serve more than 1/2 hour daily.

⇒ y > 1/2 --(c)

Thus the inequalities are :

[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]

Thus the Option C is correct .




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