Question

Assign a variable to each quantity and write each statement as an inequality. Then give an example
of an actual value that would match each description. [3 points each)
a. We can fit at most 12 people on the boat.
Variable:
Inequality:
Value that matches:
b. A heater turns on whenever the temperature of a room drops below 66°.
Variable:
Inequality:
Value that matches:

Answer 1

Answer:

1.

Variable: x

Inequality: x ≤ 12

Value that matches: 12

2.

Variable: y

Inequality: y < 66

Value that matches: 60

Step-by-step explanation:

Solving (1):

Let x be the variable

Reading through the question, we have the inequality to be represented by "at most".

At most is used for less than or equal to.

Hence, the expression can be represented by:

x ≤ 12

The range of this inequality is limited to all natural number that do not exceed 12.

Examples are 8, 2, 11, 12

Solving (2):

Let the variable be y

Reading through the question, we have the inequality to be represented by "below".

Below means less than

Hence, the expression can be represented by:

y < 66

The range of this inequality is limited to all number less than 66.

Examples are 65, 1 , 60......