Inequalities in the explanation
Step-by-step explanation:
Inequalities
Is a relation that makes a non-equal comparison between two mathematical expressions using comparators as >, <, ≤, and ≥, among others.
Some usual operations performed in equations cannot be done in the same way in inequalities, especially multiplying or dividing by negative numbers. When we need to multiply or divide by a negative number, the inequality sign must be flipped.
Let's start off with the inequality
4>-3
a) Add 3 to each side:
4+3>-3+3
7>0
b) Subtract 2 from each side:
4-2>-3-2
2>-5
c) Multiply each side by 2:
2*(4)>2*(-3)
8>-6
d) Multiply each side by -3. We must flip the sign:
-3(4)<(-3)(-3)
-12<9
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by .
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by .
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Inequalities in the explanation
Step-by-step explanation:
Inequalities
Is a relation that makes a non-equal comparison between two mathematical expressions using comparators as >, <, ≤, and ≥, among others.
Some usual operations performed in equations cannot be done in the same way in inequalities, especially multiplying or dividing by negative numbers. When we need to multiply or divide by a negative number, the inequality sign must be flipped.
Let's start off with the inequality
4>-3
a) Add 3 to each side:
4+3>-3+3
7>0
b) Subtract 2 from each side:
4-2>-3-2
2>-5
c) Multiply each side by 2:
2*(4)>2*(-3)
8>-6
d) Multiply each side by -3. We must flip the sign:
-3(4)<(-3)(-3)
-12<9
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by .
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by .
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
D. The ordered pair is located on the boundary line of the graph of the inequality
Step-by-step explanation:
Hope this helps : )
D. The ordered pair is located on the boundary line of the graph of the inequality
Step-by-step explanation:
Hope this helps : )
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