Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

24 liam is a tester who specializes in semiconductors. he uses n to rep…

Question

24 liam is a tester who specializes in semiconductors. he uses n to represent the target size in nanometers for the semiconductor in the phone chips he is testing. the specification is 26 < 2n + 6 < 34. solve the compound inequality.
25 graph the solution.
image of number line and graphing options omitted

Explanation:

Step1: Subtract 6 from all parts

$26 - 6 < 2n + 6 - 6 < 34 - 6$
$20 < 2n < 28$

Step2: Divide all parts by 2

$\frac{20}{2} < \frac{2n}{2} < \frac{28}{2}$
$10 < n < 14$

Brief Explanations

The solution is all numbers between 10 and 14, not including 10 and 14. On the number line, this is represented with open circles at 10 and 14, and a shaded line segment connecting the two open circles.

Answer:

$10 < n < 14$

For the graph (question 25):