Answered

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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

Sagot :

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.

View image FardowsaM637489
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