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Solving One-Step Inequalities. Inequality - mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts. Solution Set - the set of values that make the inequality true. Copy this table into your notes. Let’s think ………. What is less than 2 ….. X < 2?. 1,0,-1,-2,-3….
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Solving One-Step Inequalities Inequality- mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts. Solution Set- the set of values that make the inequality true.
Let’s think ……… What is lessthan 2 ….. X < 2? 1,0,-1,-2,-3… What about… ½ or 1.999999? Is 2 less than 2? This is why we use an open circle when we graph the inequality x< 2
The open circle tells us that 2 is not included The arrow tells us that everything to the left of 2 is included
Graph x > 2 Where do we put the circle ? In which direction does the arrow go? Think…what could you plug in for x that is greater than 2?
What about x ≤ 2 ……is 2 ≤ 2 This is why we graph with a closed circle. The closed circle tells us that 2 is included. Which way does the arrow go?
What about x ≥ 2 ……is 2 ≥ 2 Where do we put the circle ? Which way does the arrow go?
Your Turn • Write the inequality above the number line. • Graph the inequality. • x > 8 • x< 7 • x ≤ 4 • x ≥ -3 • x < -5 • x ≤ 6
