Inequalities - Quiz 3


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Inequalities - Quiz 3 Question

Question 1

Which of the following is the solution to $3x- 4 ≤ 2$ in the real numbers?

Your answer is correct.

$3x - 4$	$≤$	2
$3x$	$≤$	6
$x$	$≤$	2 .

Not correct. Choice (b) is false.

Try again, you have not solved the equation $3x- 4 = 2$ correctly and you have changed the direction of the inequality.

Your answer is correct.

Try again, you have changed the direction of the inequality. The direction of the inequality only changes if you multiply or divide by a negative number.

Not correct. Choice (d) is false.

Try again, you have not solved the equation $3x- 4 = 2$ correctly.

Question 2

Which of the following is the solution to $4- x > 2x- 5$ in the real numbers?

Not correct. Choice (a) is false.

Try again. You have not solved the inequation $4- x > 2x- 5$ correctly.

Not correct. Choice (b) is false.

Try again, You have not solved the inequation $4 - x > 2x - 5$ correctly and the direction of the inequality changes if you multiply or divide by a negative number.

Not correct. Choice (c) is false.

Try again, the direction of the inequality changes if you multiply or divide by a negative number.

Your answer is correct.

$4 - x$	$>$	$2x- 5$
$4 - 3x$	$>$	$- 5$
$- 3x$	$>$	$- 9$
$x$	$<$	$3$ .

Question 3

Which of the following inequalities correctly represents the graph below?

Not correct. Choice (a) is false.

Try again, this the opposite of the inequality graphed.

Not correct. Choice (b) is false.

Try again. Recall that the hollow dot represents a strict inequality.

Your answer is correct.

Not correct. Choice (d) is false.

Try again, this almost the opposite of the inequality graphed. Recall that the hollow dot represents a strict inequality.

Question 4

Is the statement below true or false?

The bound of the $X$ -axis and the shaded area below is $X ≥ 53.$

Your answer is correct.

Not correct. Choice (b) is false.

The statement is true.

Question 5

Which of the following graphs represents the bounds on the $Z$ -axis and the shaded area of $∣Z ∣ ≥ 2.04?$

Not correct. Choice (a) is false.

Try again, this is $∣Z∣ ≤ 2.04.$

Your answer is correct.

Recall that $∣Z∣ ≥ 2.04$ means $Z < - 2.04$ and $Z > 2.04 .$

Not correct. Choice (c) is false.

Try again, this is $Z < - 2.04$ and $Z > 1.645.$

Not correct. Choice (d) is false.

Try again, this is $Z > 2.04.$