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How do you know if a value is a solution for an inequality?
A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true. For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.) On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)
What is the answer if 3a is less than -6?
Pressumably you want to solve for "a". Divide both sides of the inequality by 3. That will give you the solution.
Is -4 a solution to the inequality x greater than or equal to 4?
No, -4 is not a solution to the inequality x ≥ 4. In order for -4 to be a solution, it must make the inequality true when substituted for x. Since -4 is less than 4, it does not satisfy the condition of being greater than or equal to 4. Therefore, -4 is not a solution to the inequality x ≥ 4.
What is the solution to the inequality below x2 is greater than 100?
To solve the inequality ( x^2 > 100 ), we first find the critical points by solving the equation ( x^2 = 100 ), which gives ( x = 10 ) and ( x = -10 ). The solution to the inequality occurs when ( x < -10 ) or ( x > 10 ). Thus, the solution set is ( x \in (-\infty, -10) \cup (10, \infty) ).
Solve this inequality 3p - 16 is less than 20?
p is less than 12.
In the fallowing inequality determine if the graph would contain a solid or dotted line then determine If the solution is above or below the line?
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
What is an example of an inequality with no solution?
An example of an inequality with no solution is ( x < x ). This inequality states that a number ( x ) is less than itself, which is impossible. Since no value of ( x ) can satisfy this condition, the inequality has no solution.
Is -5 a solution to this inequality x3?
"x3" is not an inequality. An inequality will have one of the following signs: less-than, less-than-or-equal, greater-than, greater-than-or-equal. for example: 3x - 5 < 15
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
Is -4 the solution of an inequality x-4?
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Is there ever a time when the same value will be a solution for both the equation and the inequality?
Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.
Is 4 a solution to the inequality x4?
x^4 is not an inequality. (An inequality has a "bigger than or equal to/less than or equal to/less than/bigger than" sign involved. I.e not an "equals" sign, since this would be an "equality"). But x^4 is not an equality, nor an inequality.
What is the solution set of the compound inequality x plus 1 is less than neg2x plus 11 is less than 3x plus 5?
This compound inequality cannot be solved.
When graphing a linear inequality how do you know if the inequality represents the area below or above the line?
If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region, If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region,
When giving rules for graphing the solution of an inequality the author writes the arrow points in the same direction as the inequality sign. Explain what criteria must be placed on the inequaltiy for?
For the arrow to point in the same direction as the inequality sign, the inequality must be either "greater than" (>) or "less than" (<) for the open intervals, or "greater than or equal to" (≥) or "less than or equal to" (≤) for closed intervals. This indicates the direction of the solution set on the number line. If the inequality is "greater than" or "greater than or equal to," the arrow points to the right; if it is "less than" or "less than or equal to," the arrow points to the left.
what of these numbers is a solution to the inequality 4 times a is less than or equal to twelve?
how about i dont know
What is the inequality solution of -7b less than 49?
-7b < 49Remember, when dividing or multiplying by negative numbers, the sign of the inequality is flipped.Therefore:b > -7
