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.
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.)
No. You can solve an inequality in a similar way to an equation, but you end up with a range of answers (like X > 3) for each variable rather than set of exact answers (like X = 3)
When multiplying or dividing a negative number or variable.
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
To isolate a variable in an equation or inequality, you need to perform inverse operations to both sides. Start by eliminating any constants added or subtracted from the variable, followed by dividing or multiplying to remove coefficients. Ensure to maintain the equality or inequality by performing the same operations on both sides. Finally, simplify the expression to get the variable alone on one side.
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
isolate the variable
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.
An expression cannot be solved; an equation or an inequality may be.
There is no equation (nor inequality) in the question. There is also no unknown variable. So there is nothing to solve.
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.)
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.
Hi
each of the four regions created on the coordinate plane by the x- and y-axes.
No. You can solve an inequality in a similar way to an equation, but you end up with a range of answers (like X > 3) for each variable rather than set of exact answers (like X = 3)