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Graph the solution to the inequality on the number line.10-31 =7HHHHHHHHHHHHHHHHHHHHH-11-10 -9 -8 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11

Graph the solution to the inequality on the number line1031 7HHHHHHHHHHHHHHHHHHHHH1110 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 class=

Respuesta :

Given the inequality:

[tex]|v-3|\leq7[/tex]

Then:

[tex]\begin{gathered} v-3\leq7,v-3\ge0 \\ \\ -(v-3)\leq7,v-3<0 \end{gathered}[/tex]

Solving the inequalities:

[tex]\begin{gathered} v\leq10,v\ge3 \\ \\ v\ge-4,v<3 \end{gathered}[/tex]

Finding the intersection:

[tex][3,10][/tex][tex][-4,3)[/tex]

Finally, we find the union between both results:

[tex][-4,10][/tex]

ANSWER

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