Recall that:
1) The solution set of the inequality:
[tex]x\leq b[/tex]is the following interval:
[tex](-\infty,b\rbrack.[/tex]2) The solution set of the inequality:
[tex]xis the following interval:[tex](-\infty,b).[/tex]Therefore the solution set of the given inequalities is:
[tex](-\infty,-2\rbrack\cup(-\infty,-5).[/tex]Since -5<-2 then:
[tex](-\infty,-5)\subseteq(-\infty,-2\rbrack,[/tex]Therefore:
[tex](-\infty,-2\rbrack\cup(-\infty,-5)=(-\infty,-2\rbrack.[/tex]The representation of the above interval in a number line is:
Answer: