Solve the inequality. Write the answer in interval notation. $6 - x

Name: Solve the inequality. Write the answer in interval notation. $6 - x < 4 < 7 - x$ A) $( - 3 , - 2 )$ B) $( - \infty , \infty )$ C) $( 2,3 )$ D)no solution
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Question

Solve the inequality. Write the answer in interval notation. $6 - x < 4 < 7 - x$
A) $( - 3 , - 2 )$
B) $( - \infty , \infty )$
C) $( 2,3 )$
D)no solution

Quizplus · Accepted Answer

To solve the compound inequality $6 - x < 4 < 7 - x$, we break it into two parts: $6 - x < 4$ and $4 < 7 - x$. Solving $6 - x < 4$, we get $x > 2$. Solving $4 < 7 - x$, we get $x < 3$. Combining these, the solution is $2 < x < 3$, which is $(2, 3)$ in interval notation.

Solve the Inequality 6−x<4<7−x6 - x < 4 < 7 - x6−x<4<7−x

Solve the Inequality $6 - x < 4 < 7 - x$