Question

Solve the inequality. Graph your solution.

$-7r>49$

Short answer

$\mathbf{r}\mathbf{<}\mathbf{-}\mathbf{7}$

Step-by-step solution

Step 1. Given information

Inequality: $-7r>49$

Step 2. Calculation 

Consider given inequality $-7r>49$,

$\begin{array}{l}-7r>49\\ \frac{-7r}{-7}<\frac{49}{-7}[Dividing-7onbothsidesandreversetheinequalitysymbol]\\ r<-7\left[Simplify\right]\end{array}$

Step 3. Graph

Using graphing calculator to draw the above inequality,

Step 4. Interpretation

The above graph represents the inequality $r<-7$.

Therefore, $r<-7$ is the required solution.