Solve the compound inequality. Write the solution in interval notation.
-x + 7

Question

Solve the compound inequality. Write the solution in interval notation.
-x + 7 < 8 or -7x < -21
A)(-?, ?)
B)(-?, 1)) $\cup$ ( 3, ?)
C)(-?, 3)
D)(1, 3)

Quizplus · Accepted Answer

The first inequality, $x + 7 < 8$, simplifies to $x < 1$, which in interval notation is $(-∞, 1)$. The second inequality, $-7x < -21$, simplifies to $x > 3$, which in interval notation is $(3, ∞)$. Combining these intervals with "or" means the solution is the union of both intervals, which is $(-∞, 1) \cup (3, ∞)$.

Solve the Compound Inequality ∪\cup∪ ( 3, ?) C)(-?, 3) D)(1, 3)

Solve the Compound Inequality $\cup$ ( 3, ?)
C)(-?, 3)
D)(1, 3)