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Goldenstate32
29.06.2020 •
Mathematics
What is the answer to this?
2x + 10 < 5x + 1
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Ответ:
x>3
Step-by-step explanation:
2x + 10 < 5x + 1
Add -5x and -10 on both sides of the inequality.
2x + 10 -10 -5x < 5x + 1 -5x -10
2x -5x < 1 -10
Subtract like terms.
-3x < -9
Multiply -1 and reverse the inequality.
3x>9
Divide 3 into both sides of the inequality.
3x/3>9/3
x>3
Ответ:
x > 3
Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.
Next, put your numbers together on the right by
subtracting 10 from both sides and we have -3x < -9.
To get x by itself, divide both sides by -3, but watch out.
If you multiply or divide both sides of an inequality by a negative,
you must switch the direction of the inequality sign.
Please give this idea your full attention.
Even the most advanced algebra students will sometimes forget to
switch the direction of the inequality sign when multiplying or
dividing both sides of an inequality by a negative.
So we have x > 3 as our answer.
I have graphed the solution below.
Ответ: