1. x ≤ 3
x is less than or equal to 3. When there is a line under < or >(or if there is an "equal to") It is a CLOSED/filled in circle.
Since x is less than 3, your answer is the 3rd line graph
2. Tina can type at LEAST 50 words per minute. 50 is your minimum value. Your inequality is:
x ≥ 50
This is because x(number of words Tina types per minute) can be equal to 50 or more.
The 3rd line graph is your answer because it is a closed circle.
3. Gavin needs to read at least 150 pages, so he can read 150 or more pages because 150 pages is the minimum. He has read 82 pages and needs to read p more. Your inequality is:
82 + p ≥ 150, he needs to read 68 more pages to read at least 150.
The 1st choice is your answer because you can read more than 68 pages.
4. [tex]\frac{x}{-10} > 6[/tex]
When you divide or multiply a negative number or variable on both sides of the inequality, the sign(>, <, ≤, ≥) is flipped.
[tex]\frac{x}{-10} > 6[/tex] Multiply -10 on both sides to get "x" by itself, and because it is a negative number, you flip the sign
x < -60
The 3rd choice is your answer
5. 5z ≥ -75
Divide 5 on both sides to get "z" by itself
z ≥ -15
The 3rd choice is your answer
6. 2y - 2 < 14 Add 2 on both sides
2y < 16 Divide 2 on both sides
y < 8
The 3rd choice is your answer
7. 25 > 1 - 3d Subtract 1 on both sides
24 > -3d Divide -3 on both sides. Because you are dividing by a negative number, you flip the sign
-8 < d or d > -8
The 4th choice is your answer
