Answer:
If solving a linear equation leads to a single solution such as x = 3, the equation is conditional. Its solution set consists of a single element.
Answer:
See attachment
Step-by-step explanation:
To graph
You first graph the boundary line
This is a dashed line going through the origin with slope 1/4.
We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.
To graph
We first graph line
By plotting (0,6), and (1,0)
We draw a dashed boundary line.
We test the origin:
0<6 which is true so we shade the left half-plane .
The intersection of both shaded regions represent the solution set.
The graph us shown in attachment.
Answer: g > 7
Graph has an open circle at 7 on the number line, shading to the right
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Explanation:
Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.
We subtract to undo the addition happening to the 'g'.
g+5 > 12
g+5-5 > 12-5
g > 7
So the number is larger than 7. For instance, if g = 8, then,
g+5 > 12
8+5 > 12
13 > 12
This is a true statement.
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If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.
In summary, the graph has an open circle at 7 and shading to the right.
Take two points
Equation of line in slope intercept form
Probability of finding no defective bulb
=95/100*94/99....86/91
=95!/(85!) / (100!/90!)
= 110983/190120
=>
Probability of finding at least one defective bulb
=1-110983/190120
= 79137/190120
= 0.41625 (to 5 decimal places)
