The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
9 answers
This means that the cake should bake for a minimum of 25 minutes and a maximum of 30 minutes.
equation?
To represent the baking time of the cake using an equation, we can use the inequality:
25 ≤ baking time ≤ 30
25 ≤ baking time ≤ 30
The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
The equation to represent the baking time of the cake would be:
25 ≤ baking time ≤ 30
25 ≤ baking time ≤ 30
Solve. 5 < x – 2 < 11
To solve the inequality 5 < x - 2 < 11, we can add 2 to all parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to:
7 < x < 13
So the solution is x is greater than 7 and less than 13.
5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to:
7 < x < 13
So the solution is x is greater than 7 and less than 13.
Which graph shows the solution of 9 – c < 2 or –3c > 15?
To graph the solution to the inequality 9 - c < 2 or -3c > 15, we can graph both inequalities separately and then find the region where either of the inequalities is true.
For the first inequality, 9 - c < 2, we can subtract 9 from both sides to isolate c:
-c < -7
Dividing both sides by -1, we flip the inequality sign:
c > 7
This means that c is greater than 7.
For the second inequality, -3c > 15, we divide both sides by -3, which flips the inequality sign again:
c < -5
This means that c is less than -5.
To graph the solution, we plot an open circle at 7 and shade everything to the right of 7, indicating that c is greater than 7. Then, we plot an open circle at -5 and shade everything to the left of -5, indicating that c is less than -5.
The graph would look like this:
-----------o------------------o------------------
-5 7
The shaded regions indicate the solution to the inequality.
For the first inequality, 9 - c < 2, we can subtract 9 from both sides to isolate c:
-c < -7
Dividing both sides by -1, we flip the inequality sign:
c > 7
This means that c is greater than 7.
For the second inequality, -3c > 15, we divide both sides by -3, which flips the inequality sign again:
c < -5
This means that c is less than -5.
To graph the solution, we plot an open circle at 7 and shade everything to the right of 7, indicating that c is greater than 7. Then, we plot an open circle at -5 and shade everything to the left of -5, indicating that c is less than -5.
The graph would look like this:
-----------o------------------o------------------
-5 7
The shaded regions indicate the solution to the inequality.
1 answer