To solve the inequality x + 15 ≥ 3, we need to isolate x on one side of the inequality.
First, subtract 15 from both sides of the inequality:
x + 15 - 15 ≥ 3 - 15
Simplifying,
x ≥ -12
So the solution is x ≥ -12.
Inequalities Unit Test
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Question
Solve x+15≥3 . Make sure to write your inequality so that x comes first.(1 poin
7 answers
Solve x+2 1/2<8 . Make sure to write your inequality so that x comes first.
To solve the inequality x + 2 1/2 < 8, we need to isolate x on one side of the inequality.
First, subtract 2 1/2 from both sides of the inequality:
x + 2 1/2 - 2 1/2 < 8 - 2 1/2
Simplifying the right side,
x < 5 1/2
So the solution is x < 5 1/2.
First, subtract 2 1/2 from both sides of the inequality:
x + 2 1/2 - 2 1/2 < 8 - 2 1/2
Simplifying the right side,
x < 5 1/2
So the solution is x < 5 1/2.
Use the image to answer the question.
A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked on the number line at 4.5. A line is drawn from the circle toward negative 10 with an arrow at the end.
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x−1.5≤3
x minus 1.5 less-than-or-equal-to 3
x−213<216
x minus 2 Start Fraction 1 over 3 End Fraction less than 2 Start Fraction 1 over 6 End Fraction
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
A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked on the number line at 4.5. A line is drawn from the circle toward negative 10 with an arrow at the end.
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x−1.5≤3
x minus 1.5 less-than-or-equal-to 3
x−213<216
x minus 2 Start Fraction 1 over 3 End Fraction less than 2 Start Fraction 1 over 6 End Fraction
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
Based on the given information, Willow solved the inequality x - 1.5 ≤ 3.
Explanation:
The open circle marked on the number line at 4.5 indicates that 4.5 is included as a possible solution. The line drawn from the circle towards negative 10 with an arrow at the end suggests that all values less than or equal to 4.5 will satisfy the inequality. Thus, the inequality is x - 1.5 ≤ 3, which states that x minus 1.5 is less than or equal to 3.
Explanation:
The open circle marked on the number line at 4.5 indicates that 4.5 is included as a possible solution. The line drawn from the circle towards negative 10 with an arrow at the end suggests that all values less than or equal to 4.5 will satisfy the inequality. Thus, the inequality is x - 1.5 ≤ 3, which states that x minus 1.5 is less than or equal to 3.
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 need to isolate x on one side of the inequality.
First, divide both sides of the inequality by 5:
5x/5 < 12/5
Simplifying,
x < 12/5
To express the improper fraction 12/5 as a mixed number, we divide the numerator (12) by the denominator (5):
12 ÷ 5 = 2 remainder 2
So, 12/5 as a mixed number is 2 2/5.
The solution is x < 2 2/5.
First, divide both sides of the inequality by 5:
5x/5 < 12/5
Simplifying,
x < 12/5
To express the improper fraction 12/5 as a mixed number, we divide the numerator (12) by the denominator (5):
12 ÷ 5 = 2 remainder 2
So, 12/5 as a mixed number is 2 2/5.
The solution is x < 2 2/5.
1 answer