LESSON 4

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UNIT 1 : ALGEBRA PREP

LESSON 4: INEQUALITIES & ABSOLUTE VALUE HOMEWORK QUESTIONS

Text Box: KEY IDEAS FOR INEQUALITIES:
· Use the same rules as you would in solving equations
· When multiplying or dividing both sides of the inequality by a negative number, the inequality is reversed.

Solutions:

Text Box: Steps:
· Expand to remove brackets
· Collect like terms on each side of equation
· Reverse inequality when dividing both sides by “-5”
· Graph has open dot at x = 2 to show 2 is not included
· Graph includes all points to the right of 2 Solution:

Text Box: Steps:
· Expand to remove brackets
· Collect like terms on each side of equation
· Graph has closed dot at x = -10 to show -10 is included
· Graph includes all points to the left of -10 Solution:

$Text Box: Steps: · Remove fractions by multiplying each term by the LCD [=12] · Expand brackets · Collect like terms on each side of inequality · Reverse inequality when dividing both sides by –16 · 37/16 = 2 5/16. estimate location on number line · Graph has closed dot at x = 2 5/16 and includes this point and all points to it’s right$

$Text Box: Steps: · Remove fractions by multiplying each part of inequality by –3 · Inequality reverses since multiplying by a negative · Subtract 3 from each part of inequality to isolate the “-2x” term · Divide each part by ‘-2”, hence reversing the inequality again · Graph includes all points between 4.5 and 12 with open circles at x = 4.5 and x = 12 as these two points are not included$