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The table below gives two inequalities in T (a temperature in °C), and a description of two inequalities in T - Junior Cycle Mathematics - Question d/e - 2022

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Question d/e

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The table below gives two inequalities in T (a temperature in °C), and a description of two inequalities in T. Complete the table by filling in the missing descripti... show full transcript

Worked Solution & Example Answer:The table below gives two inequalities in T (a temperature in °C), and a description of two inequalities in T - Junior Cycle Mathematics - Question d/e - 2022

Step 1

Temperature is between 36 and 38

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Answer

The inequality that describes this statement is:

36<T<3836 < T < 38.

This means that T is greater than 36 and less than 38.

Step 2

Graph the inequality T < 36

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Answer

To graph the inequality T < 36 on the number line:

  • Draw a number line with tick marks at 34, 35, 36, 37, 38, 39, and 40.
  • Use an open circle at 36 to indicate that 36 is not included in the solution set.
  • Shade to the left of 36 to show all values less than 36.

The graph would appear as follows:

34  35  O---|---|---|---|---|---
           36  37  38  39  40

The shaded area extends from 34 to just before 36.

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