linear equations and problem solving multiple choice

/in /by

linear equations and problem solving multiple choice

Which of the following number lines shows the inequality below?

{x | x < -3}

===========================================

Which of the following number lines shows the inequality below?

{x | -1 ≤ x < 5}

=============================================

Which of the following shows the inequality below in interval notation?

{x | x > 3}

a. (3, ∞)

b. (-∞, 3]

c. (-∞, 3)

d. [3, ∞)

=============================================

Which of the following shows the inequality below in interval notation?

{x | x ≤ -1.4}

a. [-∞, -1.4]

b. [-1.4, ∞)

c. (-∞, -1.4]

d. [-1.4, ∞]

======================================

Which of the following shows the solution to the inequality below in interval notation?

4x – 2 < 5x

a. (-∞, -2)

b. (-2, ∞)

c. (-∞, 2)

d. (2, ∞)

=============================================

Which of the following number lines shows the solution to the inequality below?

-3(x – 8) ≤ 2x – 1

=====================================

Which of the following inequalities has its solution shown on the number line below?

a. 3 over 4 x space minus space 1 space less than thin space 2

b. 1 half x space plus thin space 3 over 4 less than space minus 1 half x space minus space 2 1 fourth

c. negative 1 half left parenthesis 1 half x space minus space 1 half right parenthesis space greater than space 3 over 4 x space minus space 2 3 over 4

d. 2 over 3 x space plus thin space 1 space greater than thin space 1 1 third x space plus thin space 1 half

—————————————————————–

A shopping mall parking garage charges $1 for the first half-hour and 60 cents for each additional half-hour. Which inequality represents the amount of time you can park with only $4.00.

a. 1x + 0.6x ≥ 4

b. 1x + 0.6x ≤ 4

c. 1 + 0.6x ≥ 4

d. 1 + 0.6x ≤ 4

==========================================

To mail an envelope first class, the U.S. Post Office charges 40 cents for the first ounce and 25 cents per ounce for each additional ounce. Use an inequality to find the number of whole ounces that can be mailed for no more than $4.00.

a. [14.4, ∞)

b. (-∞, 14.4]

c. [9.375, ∞)

d. (-∞, 9.375]

————————————————————

Stibnite is a silvery white mineral with a metallic luster. It is one of the few minerals that melts easily in a match flame or at a temperature of approximately 977°F or greater. Find the Celsius temperature for which stibnite melts [Use the formula C space equals 5 over 9 left parenthesis F minus 32 right parenthesis.]

a. [525, ∞)

b. (-∞, 525]

c. [510.8, ∞)

d. (-∞, 525]

========================================