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Is the solution to a quadratic inequality in one variable always a compound inequality?
Yes - except in extreme cases. It can be the whole of the Real Numbers: eg x2 > -3 It can be a single point eg x2 ≤ 0 gives x = 0
Explain what happens when both sides of an inequality is multiplied by a negative number give an example to support your answer?
The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 < 5 multiplied by -1 gives -4 > -5 5 >= 4 multiplied by -1 gives -5 <= -4
What is the solution for 3x greater than or equal to 12?
To solve the inequality 3x ≥ 12, you need to isolate x. First, divide both sides by 3 to get x ≥ 4. This means that any value of x that is greater than or equal to 4 satisfies the inequality. In interval notation, the solution is [4, ∞).
How do you solve the inequality x plus 1 divided by x is greater than or equal to 2?
3
Why is a linear inequality is usefuln when there are many solutions?
The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.
What operation gives the solution to the inequality 4x 12?
An inequality requires an inequality sign, usually "less than", "less-than-or-equal", "greater than", or "greater than or equal". Assuming one of these inequality signs is between the "4x" and the "12", for example: 4x < 12, just divide both sides by 4. Just as when you solve equations, the idea is to isolate the variable on one side.
A substance with equal numbers of H and OH ions is an alkaline solution?
A substance with equal numbers of H+ and OH- ions is a neutral solution, not alkaline. Alkaline solutions have higher concentrations of OH- ions, making them basic.
Is the solution to a quadratic inequality in one variable always a compound inequality?
Yes - except in extreme cases. It can be the whole of the Real Numbers: eg x2 > -3 It can be a single point eg x2 ≤ 0 gives x = 0
Explain what happens when both sides of an inequality is multiplied by a negative number give an example to support your answer?
The direction of the inequality is reversed. Note that the if the inequality included "or equals" before, then it will after. 4 < 5 multiplied by -1 gives -4 > -5 5 >= 4 multiplied by -1 gives -5 <= -4
What is the solution for 3x greater than or equal to 12?
To solve the inequality 3x ≥ 12, you need to isolate x. First, divide both sides by 3 to get x ≥ 4. This means that any value of x that is greater than or equal to 4 satisfies the inequality. In interval notation, the solution is [4, ∞).
What operation gives you the sum of 2 numbers?
The operation is called addition.
How do you solve the inequality x plus 1 divided by x is greater than or equal to 2?
3
Why is a linear inequality is usefuln when there are many solutions?
The area in the inequality gives you choices. Like the number of pounds that an elevator can carry is anything less than its maximum.
What is an operation that's gives you a sum?
Addition
What is the operation that gives the quotient of two numbers?
division is the answer
The operation that gives the quotient of two numbers is?
division
What is the operation that gives the prodect of two numbers?
It is multiplication
