6-3A Solving Multi-Step Inequalities Algebra 1 Glencoe McGraw-HillLinda Stamper

A multi-step inequality is solved by transforming the inequality more than one time. Undo addition or subtraction before undoing multiplication or division or you may make the problem more complicated to solve. Always remember the basic rule when isolating the variable: Whatever you do to one side of the inequality sign, you must also do to the other side of the inequality sign.

> Solve –9 – x < – 6. Write the inequality. Undo the subtraction Undo the negative variable, / 1 reverse inequality symbol and simplify.

Solve. > / 3) Four times a number plus twelve is less than or equal to negative seven more than three. 4) Two more than half a number is greater than twenty-seven. Write an inequality and then solve.

3) Four times a number plus twelve is less than or equal to negative seven more than three. 4) Two more than half a number is greater than twenty-seven. Write an inequality and then solve.

Are your inequality signs in a line? Solve. +–+– +–+– –– > / > /

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6-A3 Pages 311–313 #12–23,59–61.