Question

Which graph shows the solution set for -1.1x+6.4>-1.3?-10-9-8-7 -6 -5 4 -3 -2 -1 0HA-10 -9 -8 -7 -6 -5 4 -3 -2 -1 0+5 6 7 8 9 100 1 2 340 12 3 4 5 6 7 8 9 10

Answer 1

Given the inequality:

`-1.1x+6.4>-1.3`

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:

`-1.1x+6.4>-1.3`

Subtract 6.4 from both sides:

`\begin{gathered} -1.1x+6.4-6.4>-1.3-6.4 \\ \\ -1.1x>-7.7 \end{gathered}`

Divide both sides by -1.1:

`\begin{gathered} (-1.1x)/(-1.1)>(-7.7)/(-1.1) \\ \\ x<7 \end{gathered}`

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.