Solve 5x/9 < 8 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first.
Note: You will find the option to add a > , <, ≥, or ≤ symbol in the Comparison (<) keyboard.
(1 point)
To solve the inequality 5x/9 < 8, we can start by multiplying both sides of the inequality by 9 (the denominator of the left side) to cancel out the fraction:
5x/9 * 9 < 8 * 9
This simplifies to:
5x < 72
To isolate x, we divide both sides of the inequality by 5:
5x/5 < 72/5
This simplifies to:
x < 14.4
So the solution to the inequality is x < 14.4. We can also write this as a mixed number by converting the decimal to a mixed number:
14.4 = 14 + 0.4 = 14 + 4/10 = 14 + 2/5
Therefore, the solution to the inequality is x < 14 2/5.
Solve 7.9x≤0 . Make sure to write your inequality so that x comes first.
Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.
(1 point)
To solve the inequality 7.9x ≤ 0, we can start by dividing both sides of the inequality by 7.9:
(7.9x)/7.9 ≤ 0/7.9
This simplifies to:
x ≤ 0
So the solution to the inequality is x ≤ 0.
Solve 8x>24.(1 point)
Responses
x>3
x greater than 3
x>16
x greater than 16
x<3
x less than 3
x<16
To solve the inequality 8x > 24, we divide both sides of the inequality by 8:
(8x)/8 > 24/8
This simplifies to:
x > 3
So the solution to the inequality is x > 3.
Solve x/13< 4/5.(1 point)
Responses
x>525
x greater than Start Fraction 52 over 5 End Fraction
x<1025
x less than 10 Start Fraction 2 over 5 End Fraction
x<1345
x less than 13 Start Fraction 4 over 5 End Fraction
x<465
To solve the inequality x/13 < 4/5, we can start by multiplying both sides of the inequality by 13 (the denominator of the left side) to cancel out the fraction:
(x/13) * 13 < (4/5) * 13
This simplifies to:
x < 52/5
To convert the fraction 52/5 to a mixed number, we divide the numerator (52) by the denominator (5):
52 ÷ 5 = 10 remainder 2
This means that 52/5 can be written as 10 2/5.
Therefore, the solution to the inequality is x < 10 2/5.