2x + 10 ≥ 12
Subtract 10 from both sides:
2x ≥ 12 - 10
2x ≥ 2
Divide both sides by 2:
x ≥ 1
The inequality in terms of x comes first is: x ≥ 1.
Solve 2x+10≥12 . Make sure to write your inequality so that x comes first. B
7 answers
Solve 5x+12.5<23.1 . Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x comes first.
5x + 12.5 < 23.1
Subtract 12.5 from both sides:
5x < 23.1 - 12.5
5x < 10.6
Divide both sides by 5:
x < 10.6/5
Simplifying:
x < 2.12
The inequality in terms of x comes first is: x < 2.12.
Subtract 12.5 from both sides:
5x < 23.1 - 12.5
5x < 10.6
Divide both sides by 5:
x < 10.6/5
Simplifying:
x < 2.12
The inequality in terms of x comes first is: x < 2.12.
Solve 4/7x−2/7>5/7 . Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.
To solve the inequality (4/7)x - (2/7) > 5/7, let's isolate x.
Add (2/7) to both sides:
(4/7)x > 5/7 + 2/7
(4/7)x > 7/7
Simplify the right side:
(4/7)x > 1
Now, divide both sides by (4/7):
x > 1 / (4/7)
To divide by a fraction, we multiply by its reciprocal:
x > 1 * (7/4)
Simplify:
x > 7/4
The inequality in terms of x comes first is x > 7/4.
To write 7/4 as a mixed number, divide 7 by 4:
7 ÷ 4 = 1 remainder 3
Therefore, 7/4 as a mixed number is 1 and 3/4.
The inequality in terms of x comes first is x > 1 3/4.
Add (2/7) to both sides:
(4/7)x > 5/7 + 2/7
(4/7)x > 7/7
Simplify the right side:
(4/7)x > 1
Now, divide both sides by (4/7):
x > 1 / (4/7)
To divide by a fraction, we multiply by its reciprocal:
x > 1 * (7/4)
Simplify:
x > 7/4
The inequality in terms of x comes first is x > 7/4.
To write 7/4 as a mixed number, divide 7 by 4:
7 ÷ 4 = 1 remainder 3
Therefore, 7/4 as a mixed number is 1 and 3/4.
The inequality in terms of x comes first is x > 1 3/4.
Use the image to answer the question.
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
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