Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

At a trout farm, most of the trout have a length of 23.5 cm. The length of some differ from this by as much as 2.1 cm. Write and solve an absolute-value inequality to find the range of lengths of the trout.

At A Trout Farm Most Of The Trout Have A Length Of 235 Cm The Length Of Some Differ From This By As Much As 21 Cm Write And Solve An Absolutevalue Inequality To class=

Sagot :

Raphealnwobiidn

Answer:

21.4 ≤ x ≤ 25.6

Step-by-step explanation:

The absolute value of a number is the non-negative value of the number without regard to its sign.

The absolute value of a real number x (|x|) is x for x is positive and -x for x is negative.

Let x represent the length of the trout. Since most trout have a length of 23.5 cm and differ by 2.1 cm, then x can be represented by:

|x - 23.5| ≤ 2.1

x - 23.5 ≤ 2.1 or -(x - 23.5) ≤ 2.1

x ≤ 2.1 + 23.5 or x - 23.5 ≥ -2.1

x ≤ 25.6 or x ≥ 21.4

Hence, the range of lengths of the trout is 21.4 ≤ x ≤ 25.6

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.