Given the inequality:
[tex]-1.1x+6.4>-1.3[/tex]Let's find the graph that shows the solution set to the inequality.
To find the inequality for the graph, let's solve for x:
[tex]-1.1x+6.4>-1.3[/tex]Subtract 6.4 from both sides:
[tex]\begin{gathered} -1.1x+6.4-6.4>-1.3-6.4 \\ \\ -1.1x>-7.7 \end{gathered}[/tex]Divide both sides by -1.1:
[tex]\begin{gathered} \frac{-1.1x}{-1.1}>\frac{-7.7}{-1.1} \\ \\ x<7 \end{gathered}[/tex]Thus, we have:
x < 7
This means that all values of x must be less than 7.
The graph for this inequality, make an open dot on point 7 and draw a thick line to the left.
ANSWER:
The third graph is correct.
