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(Solving One-Variable LINE ined
A student simplifies the inequality -8f +5 > 22 to -8f> 17. Which step did the student perform?
O Added 8t to each side of the inequality
O Subtracted 5 from each side of the inequality
O Multiplied both sides of the inequality by -8
O Divided both sides of the inequality by -8

Respuesta :

semsee45

Answer:

B) Subtracted 5 from each side of the inequality.

Step-by-step explanation:

The original inequality is:

[tex]-8f + 5 > 22[/tex]

To simplify this, the student subtracted 5 from both sides of the inequality to isolate the term with f.

If we subtract the same number from both sides of an inequality, the original inequality is still valid.

[tex]\begin{aligned}-8f + 5 & > 22\\\\-8f + 5 - 5 & > 22 - 5\\\\-8f & > 17\end{aligned}[/tex]

So, the correct answer is:

  • B) Subtracted 5 from each side of the inequality.
msm555

Answer:

Subtracted 5 from each side of the inequality

Step-by-step explanation:

To determine which step the student performed, let's compare the given inequality [tex] -8f + 5 > 22 [/tex] with the result [tex] -8f > 17 [/tex].

The student subtracted 5 from each side of the inequality:

Starting inequality:

[tex] -8f + 5 > 22 [/tex]

Subtracting 5 from both sides:

[tex] -8f + 5-5 > 22 -5[/tex]

[tex] -8f > 17 [/tex]

So, the correct answer is:

Subtracted 5 from each side of the inequality

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