Respuesta :

Answer:

[tex]x \leq -4[/tex]

Step-by-step explanation:

[tex]-8x+3\geq 27 and -13x+5\geq 57[/tex]

LEts solve each inequality separately. then we find the intersection of both solutions.

[tex]-8x+3\geq 27[/tex]

Subtract 3 on both sides

[tex]-8x\geq 24[/tex]

Divide both sides by [tex]-8[/tex], change the inequality symbol when we divide by negative number

[tex]x \leq -3[/tex]

Now solve the other inequality

[tex]-13x+5\geq 57[/tex]

Subtract 5 on both sides

[tex]-13x\geq 52[/tex]

Now divide both sides by [tex]-13[/tex]

[tex]x \leq -4[/tex]

Now we take the intersection of [tex]x \leq -3[/tex] and [tex]x \leq -4[/tex]

for [tex]x \leq -3[/tex], we shade the number line to the left

[tex]x \leq -4[/tex], shade the number line to the left

Intersection of both graph is [tex]x \leq -4[/tex]

Answer:

A

Step-by-step explanation:

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