Question

Select all inequalities that include 0 in the solution set.

• A. $x>4.24$
• B. $x>5.13$
• C. $x<\frac{2}{5}$
• D. $x>\frac{7}{2}$

Answer 1

The correct option is C $x<\frac{2}{5}$

To find the solution of an inequality, we substitute the values of $x$ in the inequality and check whether the statement is true.
A. Substituting $x=0$ in the inequality, $x>4.24$, gives $0>4.24$, which is false.

B. Substituting $x=0$ in the inequality, $x>\frac{7}{2}$, gives $0>\frac{7}{2}$, which is false.

C. Substituting $x=0$ in the inequality, $x>5.13$, gives $0>5.13$, which is false.

D. Substituting $x=0$ in the inequality, $x<25$, gives $0<25$, which is true.

So, option D is the correct answer.