Presentation on theme: "Solving One-Step Inequalities"— Presentation transcript:
1Solving 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.
2Copy this table into your notes. SymbolMeaningGraph<Less thanOpen circle>Greater than≤Less than or equal toClosed circle≥Greater than or equal to
3This is why we use an open circle when we graph the inequality Let’s think ………What is less than 2 ….. X < 2?1,0,-1,-2,-3…What about… ½ or ?Is 2 less than 2?This is why we use an open circle when we graph the inequalityx< 2
4The arrow tells us that everything to the left of 2 is included The open circle tells us that 2 is not includedThe arrow tells us that everything to the left of 2 is included
5Where do we put the circle ? Graph x > 2Where 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?
6What about x ≤ 2 ……is 2 ≤ 2 Which way does the arrow go? This is why we graph with a closed circle.The closed circle tells us that 2 is included.Which way does the arrow go?
7Where do we put the circle ? What about x ≥ 2 ……is 2 ≥ 2Where do we put the circle ?Which way does the arrow go?
8Your Turn x > 8 x< 7 x ≤ 4 x ≥ -3 x < -5 x ≤ 6 Write the inequality above the number line.Graph the inequality.x > 8x< 7x ≤ 4x ≥ -3x < -5x ≤ 6