Question

Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
460 < 2x + 10 and 2x + 10 < 660

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

x > 235 and x < 335; Ashlynn needs to consume more than 235 grams of carbohydrates, but less than 335 grams of carbohydrates.
x < 235 and x > 335; Ashlynn needs to consume less than 235 grams of carbohydrates or more than 335 grams of carbohydrates.
x > 225 and x < 325; Ashlynn needs to consume more than 225 grams of carbohydrates, but less than 325 grams of carbohydrates.
x < 225 and x > 325; Ashlynn needs to consume less than 225 grams of carbohydrates or more than 325 grams of carbohydrates.

please help

Answer 1

Answer:

C. x > 225 and x < 325

Step-by-step explanation:

Simplify each inequality:

460 < 2x + 10 =>

450 < 2x

225 < x

x > 225

and

2x + 10 < 660 =>

2x < 650

x < 325

So x > 225 and x < 325.

Answer 2

Answer:

Option 3 - x > 225 and x < 325; Ashlynn needs to consume more than 225 grams of carbohydrates, but less than 325 grams of carbohydrates.

Step-by-step explanation:

Given : Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:

$460 < 2x + 10$ and $2x + 10 < 660$

To find : Solve for x in the inequality, and explain what the answer represents?

Solution :

Solving the inequalities, $460 < 2x + 10$ ....(1)

Subtract 10 both side,

$460-10 < 2x + 10-10$

$450< 2x$

Divide by 2 both side,

$\frac{450}{2}$

$225$

i.e. The value of x is more than 225.

Solving the inequalities, $2x + 10 < 660$ ....(2)

Subtract 10 both side,

$2x + 10-10 < 660-10$

$2x< 650$

Divide by 2 both side,

$\frac{2x}{2}$

$x$

i.e. The value of x is less than 325.

As, x > 225 and x < 325; Ashlynn needs to consume more than 225 grams of carbohydrates, but less than 325 grams of carbohydrates.

Therefore, Option 3 is correct.