The ordered pair that makes both inequalities true is (4,0).
we have
y<3x-1 ----> inequality A
y > –x + 4----> inequality B
we know that
If an ordered pair is a solution to the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
Verify each ordered pair
case 1) (4,0)
Inequality A
0<3(4)-1 ----> is true
Inequality B
0> –4 + 4 ----> is true
<h3>What is inequality?</h3>
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
So, The ordered pair makes both inequalities true
case 2) (1,2)
Inequality A
2< 3(1) – 1
2<3-1
2<2----> is not true
So the ordered pair does not make both inequalities true
case 3) (0,4)
Inequality A
0 < 3(4) – 1
0<12-1
0<11 ----> is not true
So, the ordered pair does not make both inequalities true
case 4) (2,1)
Inequality A
1< 3(2) – 1
1<6-1
1<5----> is true
Inequality B
----> is not true
So the ordered pair does not make both inequalities true.
To learn more about the inequalities visit:
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Answer:
mph per minute
Step-by-step explanation:
It would be mph per minute. This is due to the fact that it already measuring the speed (miles per minute) but it is solving for how this changes per minute, therefore mph per minute.
Answer:
4 and 6
Step-by-step explanation:
Look at the ways 24 can be written as a product.
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factor pair you're looking for is the one that has a sum of 10:
4 and 6
Answer:
If two vectors are parallel, applying the same side interior angles theorem:
=> 80 + a + 59 = 180
=> a = 180 - 80 - 59 = 41 deg
Hope this helps!
:)