Question

ations and inequalities unit 4: assignme
the temperature was less than (-15^circ)c. write an inequality and three possible solutions.
2 marks (-) 0.5 mark for the inequality and 0.5 mark for each solution.

Explanation:

Step1: Define the variable and inequality

Let \( t \) represent the temperature in \(^{\circ}\text{C}\). Since the temperature is less than \(-15^{\circ}\text{C}\), the inequality is \( t < -15 \).

Step2: Find possible solutions

We need to find values of \( t \) that satisfy \( t < -15 \). Any number less than \(-15\) will work. For example:

• First solution: Let's take \( t = -16 \). Since \(-16 < -15\), it is a solution.
• Second solution: Let's take \( t = -17 \). Since \(-17 < -15\), it is a solution.
• Third solution: Let's take \( t = -20 \). Since \(-20 < -15\), it is a solution.

Answer:

The inequality is \( t < -15 \) (where \( t \) is the temperature in \(^{\circ}\text{C}\)). Three possible solutions are \(-16^{\circ}\text{C}\), \(-17^{\circ}\text{C}\), and \(-20^{\circ}\text{C}\) (other valid solutions like \(-18^{\circ}\text{C}\), \(-19^{\circ}\text{C}\), etc. are also acceptable).