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Algebra L1-6 Quiz v2

Last updated over 2 years ago

6 questions

1

1

1

1

0.5

Question 5

5.

1.5

Question 1

1.

Which compound inequality describes the solutions graphed below?

x\geq3 \textrm{ or } x<8

x\leq3 \textrm{ and } x>8

x\leq3 \textrm{ or } x>8

x\geq3 \textrm{ and } x<8

Question 2

2.

Solve the compound inequality:
\frac{1}{5}(2x+8)>2 \textrm{ or } -3(x+4)\geq 3

x<-1 \textrm{ or } x\geq 5

x>1 \textrm{ or } x\leq -5

x>-1 \textrm{ or } x\leq- 5

x<1 \textrm{ or } x\geq 5

Question 3

3.

Select the compound inequality that matches the graph shown.

x< -1 \textrm{ or } x\geq0

x\leq -1 \textrm{ or } x>0

x<-1 \textrm{ and } x\geq0

Question 4

4.

Select the graph which represents the solution set to the compound inequality
\frac{4}{3}x+\frac{10}{3}<\frac{2}{3}(3x+1)\leq\frac{1}{3}(2x+22)

A microcomputer component for is being designed to send an error signal if the magnitude of the electric potential in a circuit drops to less than 50% of its normal operating measure of 8 Volts. But, since the system runs on direct current, the voltage can be positive or negative. Thus the component has to be programmed to check the truth of the following statement, where P is the electric potential, in Volts, detected in the current. And v is a number chosen by the system designer.
|P| \geq v  

What number does the system designer set for the value of v in this inequality?

Question 6

6.

A) Rewrite the absolute value inequality from Question 5 as a compound inequality. That is, write a compound inequality that uses "and" or "or", and does not use absolute values, but has the same solution set.

B) Graph the solution set of the compound inequality, which will represent the range of allowable voltages in the microcomputer system.

x\leq -1 \textrm{ and } x>0