Watermelons cost $0.35 per pound. Joseph’s watermelon costs between $4.20 and $5.25. Which compound inequality correctly represents the possible weights of his watermelon

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dodo17
The answer is 12 < x < 15

Answer:

[tex]12 <x <15[/tex]

Step-by-step explanation:

We are given that

Cost of 1 pound watermelon=$0.35

Joseph's watermelon costs between $4.20 and $5.25

We have to find that the inequality which represents the possible weight of his watermelon.

Let x be the number of pounds of watermelon.

According to question information

[tex]4.20<0.35 x<5.25[/tex]

Taking first inequality equation

[tex]4.20< 0.35 x[/tex]

Divide by 0.35 on both sides then we get

[tex]x>\frac{4.20}{0.35}=12[/tex]

Now, taking second inequality equation

[tex]0.35x<5.25[/tex]

Divide by 0.35 on both sides

[tex]x<\frac{5.25}{0.35}=15[/tex]

From first inequality and second inequality equation then, we get

[tex]12<x<15[/tex]

Hence, the inequality that represents the possible weights of his watermelon is given by

[tex]12 <x <15[/tex]