So first of all let's rewrite the inequalities. The first one is:
[tex]1.5x-1>6.5[/tex]We can add 1 at both sides of it:
[tex]\begin{gathered} 1.5x-1+1>6.5+1 \\ 1.5x>7.5 \end{gathered}[/tex]And we can divide both sides by 1.5:
[tex]\begin{gathered} \frac{1.5x}{1.5}>\frac{7.5}{1.5} \\ x>5 \end{gathered}[/tex]So this inequality can be written as x>5. The second one is:
[tex]7x+3<-25[/tex]We substract 3 from both sides:
[tex]\begin{gathered} 7x+3-3<-25-3 \\ 7x<-28 \end{gathered}[/tex]And we divide both sides by 7:
[tex]\begin{gathered} \frac{7x}{7}<-\frac{28}{7} \\ x<-4 \end{gathered}[/tex]So the inequalities are x>5 and x<-4. This means that the parts of the number line that must be colored are those at the right of 5 (according to the first inequality) and at the left of -4 (according to the second). Since the inequalities use the siymbols "smaller than" and "greater than" with no equals there must be blank dots at -4 and 5. The option that meets all these conditions is the second which is the answer.