Compare solving equations with solving inequalities. How are the processes similar or different?

Similarities

1. Adding or subtracting a number from both sides.

2. Multiplying or dividing both sides by a positive number.

3. Applying an increasing function to both sides.

4. Simplifying one or both sides.

Differences

1. Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.

2. When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.

3. Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

a rotation about point l

step-by-step explanation:

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