Question

name
1-4 mathematical literacy and vocabulary
solving inequalities in one variable
for exercises 1-5, draw a line from the inequality in column a to the matching verbal expression in column b. the first one is done for you.
column a

1. t > 42
2. s ≤ 55
3. n - 3 > 9
4. x < -5
5. f < 3

column b
3 less than a number n is greater than 9.
x is less than negative 5.
the length of the fish is less than 3 feet.
the speed limit is less than or equal to 55 miles per hour.
must be over 42 inches tall to ride
for exercises 6-10, draw a line from each verbal expression in column a to its graph in column b.
column a

1. the set of all real numbers greater than 3.
2. g is greater than or equal to -4.
3. the set of all real numbers less than or equal to 2.
4. the quotient of r and 4 is greater than 2.
5. v is less than -3.

column b

Explanation:

Step1: Match inequalities in 1 - 5

1. \(t>42\) matches "must be over 42 inches tall to ride".
2. \(s\leq55\) matches "The speed limit is less than or equal to 55 miles per hour".
3. \(n - 3>9\) matches "3 less than a number \(n\) is greater than 9".
4. \(x < - 5\) matches "x is less than negative 5".
5. \(f<3\) matches "The length of the fish is less than 3 feet".

Step2: Match verbal - expressions in 6 - 10

1. "The set of all real numbers greater than 3" corresponds to the graph with an open - circle at 3 and an arrow pointing to the right.
2. "g is greater than or equal to - 4" corresponds to the graph with a closed - circle at - 4 and an arrow pointing to the right.
3. "The set of all real numbers less than or equal to 2" corresponds to the graph with a closed - circle at 2 and an arrow pointing to the left.
4. "The quotient of r and 4 is greater than 2" (\(\frac{r}{4}>2\)) corresponds to the graph with an open - circle at 8 (since \(r > 8\) from \(\frac{r}{4}>2\) or \(r>8\)) and an arrow pointing to the right.
5. "v is less than - 3" corresponds to the graph with an open - circle at - 3 and an arrow pointing to the left.

Answer:

1. \(t>42\) - must be over 42 inches tall to ride
2. \(s\leq55\) - The speed limit is less than or equal to 55 miles per hour
3. \(n - 3>9\) - 3 less than a number \(n\) is greater than 9
4. \(x < - 5\) - x is less than negative 5
5. \(f<3\) - The length of the fish is less than 3 feet
6. The set of all real numbers greater than 3 - graph with open - circle at 3 and arrow to right
7. g is greater than or equal to - 4 - graph with closed - circle at - 4 and arrow to right
8. The set of all real numbers less than or equal to 2 - graph with closed - circle at 2 and arrow to left
9. The quotient of r and 4 is greater than 2 - graph with open - circle at 8 and arrow to right
10. v is less than - 3 - graph with open - circle at - 3 and arrow to left