The option that explains whether the student is correct is D. The student is completely incorrect because there is “ no solution “ to this inequality.
<h3>What is an inequality? </h3>
It should be noted that inequality simply means the relation between two expressions that aren't equal.
In this scenario, the given inequality is |x - 9| < -4. Based on the solution of the student, the student is completely incorrect because there is “ no solution “ to this inequality.
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1 Is definitely bigger than -3, because 1 - 4 = -3.
Think of it like a line:
-100.............10......0........10............100
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
