The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)
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Graph the system of linear inequalities
x + y > 5
- x - y < -5
First we graph x + y >5
Step 1: replace > symbol by = sign
x + y =5
step 2 : Solve the equation for y
x + y =5 (subtract x from both sides)
y = 5 - x
step 3: Now we make a table . plug in some number for x and find out y
x -----> y
-1 -----> 6 ( y=5-x => y=5-(-1)= 6)
0 -----> 5 ( y=5-x => y=5-(0)= 5)
1 -----> 4 ( y=5-x => y=5-(1)= 4)
Step 4: we graph the table.
step 5: Shade the region that satisfies our inequality
x + y > 5. Greater than symbol implies that we shade the graph to the right
Graphing second inequality - x - y < -5
All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes
- x - y < -5 becomes x + y > 5
Follow the same steps to graph this inequality
After dividing the second equation by -1 , we got the same as the first equation.
So we will get the same graph
Both graphs overlaps
The graph of first and second inequality overlaps
The graph is attached below
Answer:
C. 5 > 15
Step-by-step explanation:
In the given series of inequalities, the inequality sign determines the final outcome.
A. 4 - 2 < 10
4 < 12
< 3
Since < 3, then the inequality is false
B. + 9 < 12
< 3
Since < 3, then the inequality is false
c. 5 > 15
> 3
Since > 3, then the inequality is true
D. 6 > 2
3 >
Since < 3, then the inequality is false
Thus, the only inequality that is true is option C.