Q. What inequality represents this interval?[1,8]Choices:(A) 1<x<8(B) 1≤x<8(C) 1≤x≤8(D) 1<x≤8
Identify Interval Type: Identify the type of interval given. The interval [1,8] has square brackets, which means both endpoints are included in the interval.
Translate to Inequality: Translate the interval into an inequality. Since 1 is included, we use the symbol "ext≤" for the lower bound. Since 8 is also included, we use the symbol "ext≤" for the upper bound. Therefore, the inequality should express that x is greater than or equal to 1 and less than or equal to8.
Write Correct Inequality: Write down the inequality that matches the interval. The correct inequality that represents the interval [1,8] is 1≤x≤8.