Alejandra1007
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Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:

50 < 2x + 10 and 2x + 10 < 110

Solve for x in this inequality, and explain what the answer represents.

1. x < 20 and x > 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.
2. x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
3. x > 30 and x < 60; Malcolm needs to consume more than 30 grams of carbohydrates, but less than 60 grams of carbohydrates.
3. x < 30 and x > 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.

Respuesta :

Answer:

The correct option is 2.

Step-by-step explanation:

The given inequalities are

[tex]50<2x+10[/tex]             .... (1)

[tex]2x+10<110[/tex]            .... (2)

Solve each inequality.

Subtract 10 from each side of inequality (1).

[tex]50-10<2x+10-10[/tex]

[tex]40<2x[/tex]

Divide both the sides by 2.

[tex]20<x[/tex]

The value of x is more than 20.

Subtract 10 from each side of inequality (2).

[tex]2x+10-10<110-10[/tex]

[tex]2x<100[/tex]

Divide both the sides by 2.

[tex]x<50[/tex]

The value of x is less than 50.

Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Hence the correct option is 2.

Answer:

its number 2

Step-by-step explanation: