Question

solve the compound inequality. graph the solution set and write it in interval notation. \\( x < 4 \\) or \\( x \leq 5 \\) choose the correct graph below write the solution set in interval notation. select the correct choice below and, if necessary, fill in the answer box to complete your choice. \\( \boldsymbol{\text{oa}} \\) the solution set is \\( \square \\) (type your answer in interval notation. simplify your answer. use integers or fractions for any numbers in the expression.) \\( \boldsymbol{\text{ob}} \\) the solution set is \\( \varnothing \\)

Explanation:

Step1: Analyze each inequality

The compound inequality is $x < 4$ or $x < 5$. Since all numbers less than 4 are also less than 5, the solution set is all numbers less than 5.

Step2: Match to correct graph

A graph for $x < 5$ has an open circle at 5 and an arrow pointing left (towards smaller numbers), which matches option D.

Step3: Write in interval notation

For all real numbers less than 5, the interval is from negative infinity to 5, with parentheses (since 5 is not included).
Expression: $(-\infty, 5)$

Answer:

Correct graph: D.
The solution set is $(-\infty, 5)$