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The length of a manufactured plastic straw is 15.2 centimeters with an acceptable allowance of 0.4 centimeters. Straw that are too big or too small are discarded.

What absolute value inequality can be written to determine the range of acceptable straw lengths, and what is this range of lengths?

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Absolute value inequality: $x−≤

A straw can be no shorter than cm and no longer than cm.

The length of a manufactured plastic straw is 152 centimeters with an acceptable allowance of 04 centimeters Straw that are too big or too small are discarded W class=

Respuesta :

382215

Answer:

the answer is |x-15.3|_<_0.4

14.8 and 15.6 in that order

Step-by-step explanation:

Ver imagen 382215

With an allowance of 0.4 the length of the straw will be x > 14.8 and x < 15.6.

What is absolute Inequality ?

The absolute value of equality is expressed as |a| is a = ±a.

The absolute value of inequality can be expressed as |a| < 2 is a<2 and a > -2 in the later case we have multiplied a with negative sign and this switches the inequality after simplification.

According to the given question

The length of a manufactured plastic straw is 15.2cm with an acceptable allowance of 0.4cm.

Here allowance of 0.4cm means ±0.4cm allowance on the specific size that plastic straw manufacturer have fixed.

∴ The equation of this will of two forms

(i) x - 15.2 > -0.4.

(ii) x - 15.2 < 0.4.

Now solving these two equations

 x - 15.2 > - 0.4

 x > 15.2 - 0.4

 x > 14.8.

AND

 x - 15.2 < 0.4

 x < 15.2 + 0.4

x < 15.6.

Learn more about absolute inequality here :

https://brainly.com/question/18482374

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