It is given that the inequalities.
We need to determine the inequalities which have an open circle.
The graph will have an open circle only if it has the symbol < or > because it indicates that the boundary is not included.
Option A: [tex]t \geq 25[/tex]
The inequality shows that it contains the boundary point 25.
Hence, the inequality [tex]t \geq 25[/tex] does not have an open circle.
Hence, Option A is not the correct answer.
Option B: [tex]-2.5 \leq m[/tex]
The inequality shows that it contains the boundary point -2.5.
Hence, the inequality [tex]-2.5 \leq m[/tex] does not have an open circle.
Hence, Option B is not the correct answer.
Option C: [tex]x>5.4[/tex]
The inequality shows that it does not contains the boundary point 5.4
Hence, the inequality [tex]x>5.4[/tex] have an open circle.
Thus, Option C is the correct answer.
Option D: [tex]\frac{1}{2}>x[/tex]
The inequality shows that it does not contain the boundary point [tex]\frac{1}{2}[/tex]
Hence, the inequality [tex]\frac{1}{2}>x[/tex] have an open circle.
Thus, Option D is the correct answer.
Option E: [tex]x>0[/tex]
The inequality shows that it does not contain the boundary point 0
Hence, the inequality [tex]x>0[/tex] have an open circle.
Thus, Option E is the correct answer.
