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4 years ago

5|7 x|- 10 ≤ 5. Please help

Mathematics

1 answer:

Mars2501 [29]4 years ago

7 0

Answer:

-3/7 ≤ x ≤ 3/7

Step-by-step explanation:

5|7 x|- 10 ≤ 5

Add 10 to each side

5|7 x|- 10+10 ≤ 5+10

5|7 x| ≤ 15

Divide by 5

5|7 x|/5 ≤ 15/5

|7 x|≤ 3

Separate into two inequalities, one positive and one negative, remembering to flip the inequality for the negative

7 x≤ 3 and 7x≥-3

Divide each side by 7

7 x/7≤ 3/7 and 7x/7≥-3/7

x≤ 3/7 and x≥-3/7

Rewriting as one equation

-3/7 ≤ x ≤ 3/7

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Answer:

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Step-by-step explanation:

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