Choose the correct solution and graph for the inequality.

z plus 9 less than or equal to 6
(1 point)
Responses

z less-than-or-equal-to negative 3
A number line has a closed circle at negative 3 and is filled in to the left.
Image with alt text: z less-than-or-equal-to negative 3 Image with alt text: A number line has a closed circle at negative 3 and is filled in to the left.

z less-than-or-equal-to 3
A number line has a closed circle at 3 and is filled in to the left.
Image with alt text: z less-than-or-equal-to 3 Image with alt text: A number line has a closed circle at 3 and is filled in to the left.

z greater-than-or-equal-to 3
A number line has a closed circle at 3 and is filled in to the right.
Image with alt text: z greater-than-or-equal-to 3 Image with alt text: A number line has a closed circle at 3 and is filled in to the right.

z greater-than-or-equal-to negative 3
A number line has a closed circle at negative 3 and is filled in to the right.

The correct solution and graph for the inequality z + 9 ≤ 6 is:

z ≤ -3

The number line has a closed circle at -3 and is filled in to the left.

Image: [number line with a closed circle at -3 and shaded to the left]

The correct solution and graph for the given inequality "z + 9 <= 6" is:

z less-than-or-equal-to -3

The correct graph would be a number line with a closed circle at -3 and filled in to the left.

Choose the correct solution and graph for the inequality.

Start Fraction y over 3 End Fraction greater than or equal to negative 5
(1 point)
Responses

y less-than-or-equal-to 15
A number line has a closed circle at 15 and is filled in to the left.
Image with alt text: y less-than-or-equal-to 15 Image with alt text: A number line has a closed circle at 15 and is filled in to the left.

y less-than-or-equal-to negative 8
A number line has a closed circle at negative 8 and is filled in to the left.
Image with alt text: y less-than-or-equal-to negative 8 Image with alt text: A number line has a closed circle at negative 8 and is filled in to the left.

y greater-than-or-equal-to negative 15
A number line has a closed circle at negative 15 and is filled in to the right.
Image with alt text: y greater-than-or-equal-to negative 15 Image with alt text: A number line has a closed circle at negative 15 and is filled in to the right.

y greater-than-or-equal-to 15
A number line has a closed circle at 15 and is filled in to the right.