Inequalities - Quiz 2


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Inequalities - Quiz 2 Question

Question 1

Which of the following is the solution to $2x - 9 ≥ 1$ in the real numbers?

Not correct. Choice (a) is false.

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 (b) is false.

Try again, you have not solved the equation $2x- 9 = 1$ correctly.

Your answer is correct.

$2x - 9$	$≥$	1
$2x$	$≥$	10
$x$	$≥$	5 .

Not correct. Choice (d) is false.

Try again, you have not solved the equation $2x- 9 = 1$ correctly.

Question 2

Which of the following is the solution to $4- 3x ≥ 13$ in the real numbers?

Your answer is correct.

$4- 3x$	$≥$	13
$- 3x$	$≥$	9
$x$	$≤$	-3 .

Not correct. Choice (b) is false.

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

Not correct. Choice (c) is false.

Try again. You have not solved the equation $4 - 3x = 13$ correctly.

Not correct. Choice (d) is false.

Try again. You have not solved the equation $4- 3x = 13$ correctly and remember, if you multiply or divide by a negative number you must change the direction of the inequality.

Question 3

Which of the following correctly represents $1 < x ≤ 4?$

Not correct. Choice (a) is false.

Try again, this is $- 1 ≤ x ≤ 4.$ Recall that a hollow dot represents a strict inequality.

Not correct. Choice (b) is false.

Try again, this is $- 1 < x ≤ 4 .$

Not correct. Choice (c) is false.

Try again, this is $1 ≤ x ≤ 4.$
Recall that a hollow dot represents a strict inequality.

Your answer is correct.

Question 4

Consider the following graph.

Which statement below describes the bound on the $X$ -axis of the shaded area?

Not correct. Choice (a) is false.

Try again, this really reads $X ≤ 60$ or $X ≥ 72.$

Your answer is correct.

Not correct. Choice (c) is false.

Try again, this really reads $X ≤ 60$ or $X ≥ 72 .$

Not correct. Choice (d) is false.

Try again, this really reads $X ≤ 60$ or $X ≤ 72 .$

Question 5

Consider the graph below.

Which of the following correctly represents the bounds of the $Z$ -axis and the shaded areas?

Not correct. Choice (a) is false.

Try again, the shaded areas are not even.

Your answer is correct.

Not correct. Choice (c) is false.

Try again, this is the unshaded area.

Not correct. Choice (d) is false.

Try again,this is the unshaded area.