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.
A two-step inequality is a mathematical expression that involves two operations to isolate the variable. Typically, it includes an inequality sign (such as <, >, ≤, or ≥) and requires performing two steps to solve for the variable. For example, in the inequality (2x + 3 > 7), one would first subtract 3 from both sides and then divide by 2 to find the solution for (x). This type of inequality is commonly used in algebra to represent a range of possible values.
To solve an inequality, first isolate the variable on one side of the inequality sign, similar to how you would solve an equation. This involves performing the same operations on both sides, such as adding, subtracting, multiplying, or dividing, while remembering that if you multiply or divide by a negative number, you must reverse the inequality sign. After isolating the variable, express the solution in interval notation or graph it on a number line to represent all possible values that satisfy the inequality.
To solve a two-step inequality, first isolate the variable by performing the same operations on both sides of the inequality. Start by adding or subtracting a constant term from both sides, followed by multiplying or dividing by a non-zero coefficient. Remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or graph it on a number line.
In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)
To solve an inequality on a number line, first isolate the variable on one side of the inequality. Then, determine the critical points by setting the inequality to equal zero and solving for the variable. Next, plot these points on the number line, and use test intervals to determine where the inequality holds true. Finally, shade the appropriate region of the number line and use open or closed circles to indicate whether the endpoints are included or not, based on whether the inequality is strict (>, <) or inclusive (≥, ≤).
Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33
No, you can only simplify an expression. To solve for a variable, it must be in an equation.
x>5
A two-step inequality is a mathematical expression that involves two operations to isolate the variable. Typically, it includes an inequality sign (such as <, >, ≤, or ≥) and requires performing two steps to solve for the variable. For example, in the inequality (2x + 3 > 7), one would first subtract 3 from both sides and then divide by 2 to find the solution for (x). This type of inequality is commonly used in algebra to represent a range of possible values.
isolate the variable
To solve an inequality, first isolate the variable on one side of the inequality sign, similar to how you would solve an equation. This involves performing the same operations on both sides, such as adding, subtracting, multiplying, or dividing, while remembering that if you multiply or divide by a negative number, you must reverse the inequality sign. After isolating the variable, express the solution in interval notation or graph it on a number line to represent all possible values that satisfy the inequality.
To solve a two-step inequality, first isolate the variable by performing the same operations on both sides of the inequality. Start by adding or subtracting a constant term from both sides, followed by multiplying or dividing by a non-zero coefficient. Remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or graph it on a number line.
An expression cannot be solved; an equation or an inequality may be.
One variable inequality- graph the point on the number line then choose a point on the point, to the left and to the right to see what gets shaded. Two variable inequality- graph the line on grid paper then choose a point on the line, to the left and to the right to see what gets shaded.
There is no equation (nor inequality) in the question. There is also no unknown variable. So there is nothing to solve.
When you have a negative variable in an equation that you are trying to solve for, you multiply each side of the equation by -1. If it is an inequality such as <, you would flip the sign to > and vice versa.
In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)