1. In the inequality 3x + 10 ≤ 30, x represents the number of small paper cranes Andre will make, 3x represents the total time it will take to make all the small paper cranes, 10 represents the time it takes to make the centerpiece, and 30 represents the total amount of time Andre has to make all the paper cranes.
2. To solve the inequality 3x + 10 ≤ 30, we first subtract 10 from both sides to isolate the term with x:
3x ≤ 20
Then, we divide both sides by 3 to solve for x:
x ≤ 6.67
Since you cannot make a fraction of a paper crane, Andre can make a maximum of 6 small paper cranes in the 30 minutes he has available to him. The solution means that Andre needs to make a decision on how many small paper cranes to make in order to stay within his time limit of 30 minutes.
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.
1. Andre wrote the inequality 3x + 10 less than equal to symbol 30 to plan his time. Describe what x, 3x, 10 and 30 represent in this inequality.
2. Solve Andre's inequality and explain what solution means
5 answers
list some values for x that would make -2x > 10 true
To determine values for x that would make the inequality -2x > 10 true, we can first isolate x by dividing both sides of the inequality by -2. When dividing by a negative number, remember that the direction of the inequality sign will reverse.
So, we have:
-2x > 10
x < -5
Therefore, any value of x that is less than -5 will make the inequality -2x > 10 true. Some values for x that satisfy this inequality include:
-6, -7, -8, -10, etc.
So, we have:
-2x > 10
x < -5
Therefore, any value of x that is less than -5 will make the inequality -2x > 10 true. Some values for x that satisfy this inequality include:
-6, -7, -8, -10, etc.
How are the solutions to the inequality -2x less than equal to symbol different from the solutions to -2x > 10
The solutions to the inequality -2x ≤ 10 include all values of x that make the statement -2x less than or equal to 10 true. This means that x can be any value that is less than or equal to -5.
On the other hand, the solutions to the inequality -2x > 10 include all values of x that make the statement -2x greater than 10 true. This means that x must be less than -5 in order for the inequality to hold true.
In summary, the solutions to -2x ≤ 10 include -5 and any value less than -5, while the solutions to -2x > 10 only include values of x that are less than -5.
On the other hand, the solutions to the inequality -2x > 10 include all values of x that make the statement -2x greater than 10 true. This means that x must be less than -5 in order for the inequality to hold true.
In summary, the solutions to -2x ≤ 10 include -5 and any value less than -5, while the solutions to -2x > 10 only include values of x that are less than -5.
7 answers