Find all real numbers \( x \) such that:
\[ 6x - 21 \geq 3 \]
or
\[ 14x + 11 \leq -7 \]
Answer (2)
6 x − 21 ≥ 3 6 x ≥ 3 + 21 6 x ≥ 24 x ≥ 6 24 x ≥ 4
14 x + 11 ≤ − 7 14 x ≤ − 7 − 11 14 x ≤ − 18 x ≤ 14 19 x ≤ 7 9
The solution to the given inequalities are that x can be greater than or equal to 4 or less than or equal to -9/7. Specifically, this means x ≥ 4 or x ≤ − 7 9 . Therefore, both sets of solutions represent valid values for x.
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