Use the image to answer the question.
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x−213<216
x minus 2 Start Fraction 1 over 3 End Fraction less than 2 Start Fraction 1 over 6 End Fraction
x−1.5≤3
x minus 1.5 less-than-or-equal-to 3
x+212<212
x plus 2 Start Fraction 1 over 2 End Fraction less than 2 Start Fraction 1 over 2 End Fraction
x+1.25≤5.75
From the image, it appears that the solution on the number line is in the range of x between -2 and 2. Therefore, the inequality that Willow solved is x minus 2 Start Fraction 1 over 3 End Fraction less than 2 Start Fraction 1 over 6 End Fraction.
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x−213<216
x minus 2 Start Fraction 1 over 3 End Fraction less than 2 Start Fraction 1 over 6 End Fraction
x−1.5≤3
x minus 1.5 less-than-or-equal-to 3
x+212<212
x plus 2 Start Fraction 1 over 2 End Fraction less than 2 Start Fraction 1 over 2 End Fraction
x+1.25≤5.75
Without the image, it is impossible to determine which of the given inequalities Willow solved.
Solve 5x<12 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first.
To solve the inequality 5x < 12, we can divide both sides of the inequality by 5:
5x/5 < 12/5
x < 12/5
To express 12/5 as a mixed number, we divide the numerator (12) by the denominator (5) and write the remainder as a fraction:
12 ÷ 5 = 2 with a remainder of 2
So, 12/5 can be written as the mixed number 2 2/5.
Therefore, the solution to the inequality 5x < 12 is:
x < 2 2/5.