To isolate the variable in a multi-step inequality, start by simplifying the inequality as needed, such as distributing or combining like terms. Next, use inverse operations to eliminate any coefficients or constants attached to the variable, maintaining the inequality's direction (reversing it if you multiply or divide by a negative number). Finally, continue simplifying until the variable is alone on one side of the inequality. Always check your solution by substituting back into the original inequality.
To determine if all values of a variable satisfy an inequality, you need to analyze the inequality itself. If it is always true (for instance, a statement like (x + 2 > x + 1) is always true), then all values of the variable satisfy it. However, if specific conditions or limits on the variable exist (like (x > 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.
To determine which values satisfy a given inequality, you'll need to analyze the inequality itself. Start by isolating the variable on one side, if necessary. Then, test values within the solution interval or use a sign chart to identify the ranges that meet the inequality's condition. If you provide the specific inequality, I can help identify the exact values that satisfy it.
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
Yes. A variable by itself, or anything that contains a variable, would be a variable expression (unless the variable cancels out, as in "x - x", which always has the same value).
To determine if all values of a variable satisfy an inequality, you need to analyze the inequality itself. If it is always true (for instance, a statement like (x + 2 > x + 1) is always true), then all values of the variable satisfy it. However, if specific conditions or limits on the variable exist (like (x > 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.
To determine which values satisfy a given inequality, you'll need to analyze the inequality itself. Start by isolating the variable on one side, if necessary. Then, test values within the solution interval or use a sign chart to identify the ranges that meet the inequality's condition. If you provide the specific inequality, I can help identify the exact values that satisfy it.
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (≤ or ≥). You may be able to rewrite the inequality to express one of the variables in terms of the other. This may be far from simple if the inequality is non-linear.
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
The Cauchy-Schwartz inequality is a mathematical inequality. It states that for all vectors x and y of an inner product space, the dot product of x and y squares is less than or equal to the dot product of x to itself multiplied by y to itself.
Yes. A variable by itself, or anything that contains a variable, would be a variable expression (unless the variable cancels out, as in "x - x", which always has the same value).
To determine a solution to an inequality, you need to specify the inequality itself. Solutions vary depending on the inequality's form, such as linear (e.g., (x > 3)) or quadratic (e.g., (x^2 < 4)). Once the inequality is provided, you can identify specific numbers that satisfy it. Please provide the inequality for a precise solution.
Identity property of addition states that the sum of zero and any number or variable is the number or variable itself. Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself.
it haves a sstem of parts
True if the variable is non-negative, false if the variable itself is negative.
Obviously, X is the variable which you are trying to get alone, and 0 is what the problem should equal. Basically, you're trying to get X by itself.
If the line is undefined in a graphed inequality, it typically represents a vertical line, which corresponds to a vertical inequality such as ( x = a ). In this case, the inequality can be written as ( x < a ) or ( x > a ). The graph will shade to the left or right of the line, indicating the region that satisfies the inequality. Since the line itself is not included in the inequality, it is often represented with a dashed line.