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Solving Inequalities Algebra 1

Solving inequalities is similar to solving linear equations (ex. 2x+2=4), except for one small but important detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative number.Examples-2x=4, answer: x=-2-2x4, answer: x-2

Remember:

~The opposite of addition is subtraction

~The opposite of subtraction is addition

~The opposite of multiplication is division

~The opposite of division is multiplication

~When multiplying or dividing by a negative number, the sign of the inequality switches Please complete the following questions for homework tomorrow.

Solve.m - 3 < 6

5Answer: m-1~Add 3 to both sidesSolve.3 + y < -2

13Answer: y-10~Multiply each side by 5, then divide each side by 2 Solve.

23Answer: a 5

25Answer: x>2~Subtract 1 from each side, then divide each side by 3Solve.-2n + 3 < 7

27Answer: n>-2Subtract 3 from each side then divide each side by a -2, switch the inequality sign because we are dividing by a negative numberSolve.8 < 2 - 3r

29Answer: r