Which inequality is shown on the accompanying graph?
1 answer:
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Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
Hence,
Clare didn't change the inequality symbol in the last step to >
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Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)
❖ If lines are parallel to each other, they have the same slope.
So the slope of the line parallel to y-5=6x-10 is 6.
Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-
Substitute 10 for y₁, 6 for m and 4 for x₁:-
On simplification,
Adding 10 to both sides results in:-
So we conclude that Option A is correct.
<h3>Good luck.</h3>- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -