The question is a True or False question
Answer:
True
Step-by-step explanation:
Given
5 ≤ x ≤ 8
Required
Is [5,8] the interval of the given range?
The interval given shows that the range of x begins at 5 and ends 8.
Start by splitting the interval to different inequalities.
1. 5 ≤ x
This implies that 5 is less than or EQUAL TO x;
The keyword needed here is EQUAL TO;
The fact that the inequality gives room for EQUALITY (=) means that the interval begins exactly at 5
2. x ≤ 8
This implies that x is less than or EQUAL TO 8;
Similarly, the keyword needed here is EQUAL TO;
The fact that this inequality gives room for EQUALITY (=) means that the interval ends exactly at 8
So, this implies that the range of values of 5 ≤ x ≤ 8 is 5, 6, 7, 8
And can be represented with [5,8]
So, the statement is true.
