Find the range of the value of \(x\) satisfying the inequalities \(5 + x \le 8\) and \(13 + x \ge 7\)
Question 1 Report
Find the range of the value of \(x\) satisfying the inequalities \(5 + x \le 8\) and \(13 + x \ge 7\)
Answer Details
The given inequalities are:
5 + x ≤ 8
13 + x ≥ 7
Simplifying them, we get:
x ≤ 3
x ≥ -6
So the range of values of x that satisfy both the inequalities is:
-6 ≤ x ≤ 3
Therefore, option (C) is the correct answer.
To arrive at this answer, we first solved each inequality separately to get an idea of the possible range of values for x. Then we looked for the overlap between these ranges, which gives us the range of values that satisfy both inequalities.
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