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What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

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How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line (dashed for < or >, solid for ≤ or ≥). Then, shade the region that satisfies the inequality.

Front

What does the symbol '>' mean in inequalities?

Back

'>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '≤' mean in inequalities?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph. The point where they intersect is the solution to the system.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

How do you find the cost of items using a system of equations?

Back

Set up equations based on the total cost and the quantities of items. Solve the system to find the cost of each item.

Front

Back

The solution is the point (1, 9), where both equations intersect.

Front

What does it mean for a point to be a solution to an inequality?

Back

A point is a solution to an inequality if it makes the inequality true when substituted into the inequality.