Unit 6 Lesson 1 An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to.

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Unit 6 Lesson 1

An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to teachers.henrico.k12.va.us/math/int10405/29lessons/29les7/solve_ineq_addNT1.ppt

To draw a number line, first draw a line with an arrow on each end.

Positive numbers increase to the right. Negative numbers “increase” to the left.

< >   

0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf

1. Draw a number line. 2. Put a circle on the correct number on the number line. ◦ Open circles for ◦ Closed circles for ≤ and ≥ 3. Draw an arrow in the correct direction on the number line.

(a) –4 ___ 12 (b) 23 ___ –21 (c) –145 ___ –211 (d) 29 ___ –32 (e) –101 ___ –110 < > > > >

m = –1 m = –2 m = 10 m = 1 m = 2

21, –11, 0, 43, 11, –19, 54, –45, –25, 19 –45 < –25 < –19 < –11< 0 < 11 < 19 < 21 < 43 < 54