solve 3x greater or equal to 12. make sure to write your inequality so that x comes first.
x ≥ 4
solve 5x/9 < 8. write the improper fraction in your answer as a mixed number.
To solve the inequality 5x/9 < 8 and express the result as a mixed number, we can follow these steps:
1. Multiply both sides of the inequality by 9 to eliminate the fraction:
5x/9 * 9 < 8 * 9
This simplifies to:
5x < 72
2. Divide both sides of the inequality by 5 to isolate x:
(5x)/5 < 72/5
This simplifies to:
x < 14.4
Therefore, the solution to the inequality is x < 14.4 as a decimal.
To express it as a mixed number, since x represents a continuous variable and not a whole number, it cannot be expressed as a mixed number directly. The solution will be x < 14.4.
that is wrong
Apologies for the mistake in the previous response.
To solve the inequality 5x/9 < 8 and express the result as a mixed number, we can follow these steps:
1. Multiply both sides of the inequality by 9 to eliminate the fraction:
(5x/9) * 9 < 8 * 9
This simplifies to:
5x < 72
2. Divide both sides of the inequality by 5 to isolate x:
(5x)/5 < 72/5
This simplifies to:
x < 14.4
Although it is not possible to represent a decimal as a mixed number, we can express it as an improper fraction.
To convert 14.4 to an improper fraction:
First, ignore the decimal and consider it as a whole number: 14.
Then, the decimal part (0.4) can be converted to a fraction by dividing the decimal by the place value it occupies, which is 10 in this case:
0.4/10 = 4/10 = 2/5
Therefore, the improper fraction form of 14.4 is 14 2/5.
Thus, the solution to the inequality is x < 14 2/5.
solve 7.9x less than or equal to 0.
To solve the inequality 7.9x ≤ 0, we can follow these steps:
1. Divide both sides of the inequality by 7.9 to isolate x:
(7.9x) / 7.9 ≤ 0 / 7.9
This simplifies to:
x ≤ 0
Therefore, the solution to the inequality is x ≤ 0.
a number line goes from the middle of 2 to the middle of 10. what linear inequality is shown graphed on the number line? make sure to write your inequality so that x comes first.
The number line going from the middle of 2 to the middle of 10 can be represented as:
2 ≤ x ≤ 10
This is a linear inequality showing that x is greater than or equal to 2 and less than or equal to 10.