Use the image to answer the question.
A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 1 and 2. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 10.
Preston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?
(1 point)
Responses
2.1x+5.6≥8.75
2.1 x plus 5.6 greater than or equal to 8.75
0.9x+2.8≤5.95
0.9 x plus 2.8 less than or equal to 5.95
5.6x−18.9≤0.7
5.6 x minus 18.9 less than or equal to 0.7
3.4x−1.2≥4.75
5 answers
The inequality that Preston solved is 0.9x + 2.8 ≤ 5.95.
Question
Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first.(1 point)
Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as your variable and write your x term first.(1 point)
The inequality that could be used to solve this problem is:
4x - 15 > 49
This inequality states that "Fifteen less than four times a number is more than 49." To find all the possible values of the number, we need to solve this inequality for x.
4x - 15 > 49
This inequality states that "Fifteen less than four times a number is more than 49." To find all the possible values of the number, we need to solve this inequality for x.
Youssef is taking a trip on an airplane. He knows that to avoid extra fees his suitcase must weigh under 50 pounds. The suitcase with his clothes weighs 35 pounds. He has room, so he decides to pack some books for his trip, too. Each book weighs on average 1.2 pounds. How many books could he bring on the trip? He writes the inequality 1.2b+35<50 , where b equals the number of books, to help figure this out. Solve his inequality. Use the letter b as your variable and write your b term first.
Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard.
(1 point)
Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard.
(1 point)
To solve the inequality 1.2b + 35 < 50, where b represents the number of books, we need to isolate the variable b.
Subtract 35 from both sides of the inequality:
1.2b + 35 - 35 < 50 - 35
1.2b < 15
Next, divide both sides by 1.2 to solve for b:
b < 15 / 1.2
b < 12.5
So, Youssef can bring a maximum of 12 books on the trip.
Subtract 35 from both sides of the inequality:
1.2b + 35 - 35 < 50 - 35
1.2b < 15
Next, divide both sides by 1.2 to solve for b:
b < 15 / 1.2
b < 12.5
So, Youssef can bring a maximum of 12 books on the trip.
0 answers