Which inquality is graft below?

Option C - 2x + y > 2

Step-by-step explanation:

We don’t have to do some serious math here. We can already eliminate half of the options just looking at it, because the graph has a dotted line, which means it does not include those values.

So, choses A and B are eliminated because the inequality shows the ≥ and ≤ symbol, which means that it does include those values. It’s either C or D because they have the > and < symbol, which means that the inequality does not include those values.

To have a better look at the inequalities, write them in slope-intercept form, which is y=mx+b:

Option C: y > -2x + 2

Option D: y < -2x +2

Just looking at the inequlaity symbol, we can tell that Option C is the correct one because it shows that all the y-values are greater than -2x + 2. Which is true because it’s shaded above the line. When it’s shaded above the line, it means that the y-values are greater.

To make sure my answer was correct, I graphed Option C. The image below shows Option C (2x + y > 2) graphed.

Hope this helps! :)

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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