Solve the inequality : x-7 ≤ 3x + 1

Mathematics

2 answers:

Nina [5.8K]2 years ago

6 0

Answer:

See below.

Step-by-step explanation:

x-7≤3x+1

+7 +7

x≤3x+8

-3x -3x

-2x≤8

/-2 /-2

x≥-4

The inequality symbol reverses when divided/multiplied by a negative term.

-hope it helps

Ad libitum [116K]2 years ago

5 0

Answer:

x ≥ -4

Step-by-step explanation:

we can solve inequalities in the same way as equations except when multiplying or dividing by a negative; in which case you must reverse the inequality symbol

x - 7 ≤ 3x + 1

we can begin by adding 7 to each side to get:

x ≤ 3x + 8

now subtract 3x from each side to get:

-2x ≤ 8

we have to divide each side by -2 so we must reverse the symbol:

x ≥ -4

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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

In case you are wondering, I used the pythagorean theorem. If you want to learn how to use it I suggest you google it, there are plenty of sites that explain how to use it.

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)