Question

Choose the graph of the solution to this inequality $-6x<21$.

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The correct option is D

Step-1 : Explanation for correct option:

Option $D$:
Given inequality $-6x<21$
$$\begin{gathered} \Rightarrow -6x<21 \\ \Rightarrow -x<\frac{21}{6} \\ \Rightarrow x>-3.5 \end{gathered}$$

So option $D$ is correct

Step-2 : Explanation for incorrect option:

Since the inequality is $x>-3.5$
that means $x$ is greater than $-3.5$ and not including it ,

So Option $B$ is incorrect

Therefore, Option $A$, $B$ and $C$ are incorrect .

Hence, option $D$ is correct