Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.
The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.
The area where both shaded areas meet is the area that will have all the possible solutions.
PartB:
y ≥ −3x + 3
3 ≥ -3(-6) + 3
3 ≥ 18 + 3
Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.
Learn more about Inequality:
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Answer: do you still need help comment ok
Step-by-step explanation:
Divide and see how far they traveled in 1 minute.
Paul:
3.75 / 15 = 0.25 km in 1 minute
Lisa:
4.2 / 18 = 0.23 km in 1 minute
Carol:
3.2 / 12 = 0.27 km in 1 minute
Eric:
5.5 / 30 = 0.18 km in 1 minute
You are correct, Carol rode at the greatest speed.
I encountered this problem before but it had choices. If this problem had these choices:
<span>A) 2 and 5
B) 3 and 5
C) 4 and 5
Then the correct answer is A) 2 and 5.
We will use the tangent ratio.
tan</span>Θ = opposite/adjacent
tan 22° = 2/5
0.404 = 0.40
Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.