Consider the interval.

(5.4,0.03)

Rewrite the interval using plus/minus notation.

Determine whether the number zero is contained in the interval.

Yes, zero is contained in the interval. No, zero is not contained in the interval.

2.

Consider the following compound inequality.

3<x<8

(a)

Graph the compound inequalities.

Use the tools to enter your answer.

-10-8-6-4-20246810

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Rewrite them using interval notation for a real numberx. (Simplify your answer completely.)

(b)

Graph the inequalities for

x= 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Use the tools to enter your answer.

-10-8-6-4-20246810

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3.

Consider the interval.

2.91.5

Write the interval using interval notation. (Simplify your answer completely.)

Determine whether the number zero is contained in the interval.

Yes, zero is contained in the interval.No, zero is not contained in the interval.

4.

Consider the interval.

71

Write the interval using interval notation. (Simplify your answer completely.)

Determine whether the number zero is contained in the interval.

Yes, zero is contained in the interval. No, zero is not contained in the interval

5.

Solve the compound inequality and write the answer using interval notation. (Simplify your answer completely.)

x6<10 orx6> 10

Suppose a company makes surgical screws. To pass inspection, the screws must be63millimeters long and can vary by no more than0.02millimeter.

(a)

Write the possible screw lengths (in mm) using plus/minus notation.

mm mm

(b)

Write the possible screw lengths (in mm) using interval notation. (Simplify your answer completely.)

mm

(c)

All screw lengths must be between which two values (in mm)?

All screw lengths must be between a lower value of mm and an upper value of mm.