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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
What is the solution set for 6p less than or equal to 296?
To solve the inequality (6p \leq 296), divide both sides by 6. This gives (p \leq \frac{296}{6}), which simplifies to (p \leq 49.33). Therefore, the solution set is all real numbers (p) such that (p \leq 49.33). In interval notation, this can be expressed as ((-\infty, 49.33]).
Which ordered pair could be a solution to this inequality 4y -3x - 2?
To determine which ordered pair could be a solution to the inequality (4y - 3x - 2 > 0), you can substitute the values of the ordered pair into the inequality. For example, if we take the ordered pair (1, 2), substituting gives (4(2) - 3(1) - 2 = 8 - 3 - 2 = 3), which is greater than 0, thus (1, 2) is a solution. You can test other pairs similarly to find more solutions.
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 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?
No, only exces of OH- gives you an alkaline solution and exces of H+ gives you an acidic solution. When they are EQUAL then the solution (water) is NEUTRAL, pH= 7.0
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
What is the solution set for 6p less than or equal to 296?
To solve the inequality (6p \leq 296), divide both sides by 6. This gives (p \leq \frac{296}{6}), which simplifies to (p \leq 49.33). Therefore, the solution set is all real numbers (p) such that (p \leq 49.33). In interval notation, this can be expressed as ((-\infty, 49.33]).
Which ordered pair could be a solution to this inequality 4y -3x - 2?
To determine which ordered pair could be a solution to the inequality (4y - 3x - 2 > 0), you can substitute the values of the ordered pair into the inequality. For example, if we take the ordered pair (1, 2), substituting gives (4(2) - 3(1) - 2 = 8 - 3 - 2 = 3), which is greater than 0, thus (1, 2) is a solution. You can test other pairs similarly to find more solutions.
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
