Q. What inequality represents this interval?[−1,3)Choices:(A) −1<x≤3(B) −1≤x≤3(C) −1≤x<3(D) −1<x<3
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is \[\(-1\), \(3\))\$, which means \$\(-1\)\$ is included (as indicated by the square bracket) and \$\(3\)\$ is not included (as indicated by the parenthesis).
Translate to Inequality: Translate the interval into an inequality. Since \(-1\) is included, the inequality must use "leq"for−1.Since3isnotincluded,theinequalitymustuse"<"for3$.
Write Correct Symbols: Write the inequality using the correct symbols. The inequality that represents the interval \([-1, 3)\] is \$-1 \leq x < 3\).