Respuesta :

Answer:

[tex]x < 7[/tex]

Step-by-step explanation:

1) Subtract 40 from both sides.

[tex] - 8x > - 16 - 40[/tex]

2) Simplify -16 - 40 to -56.

[tex] - 8x > - 56[/tex]

3) Divide both sides by -8.

[tex]x > \frac{ - 56}{ - 8} [/tex]

4) Two negative numbers makes a positive.

[tex]x > \frac{56}{8} [/tex]

5) Simplify 56/8 to to 7.

[tex]x < 7[/tex]

Therefor the answer is option B. x < 7.

Answer:

[tex]x<7[/tex]

Step-by-step explanation:

[tex]-8x+40>-16[/tex]

Move the constant to the right-hand side and change its sign

[tex]-8x>-16-40[/tex]

Calculate the difference

[tex]-8x>-56[/tex]

Divide both sides of the inequality by -8 and flip the inequality sign

[tex]x < 7[/tex]

Therefore the Correct Answer B. x < 7

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