Transcript Inequalities in One Variable  Use the same process for solving an equation with TWO exceptions: ◦ 1) Always get the variable alone.

Inequalities in One Variable

Use the same process for solving an equation
with TWO exceptions:
◦ 1) Always get the variable alone on the LEFT side.
◦ 2) If you MULTIPLY or DIVIDE by a NEGATIVE
number, you FLIP the inequality sign!

Instead of a single answer, the solution will
be a range of numbers. (Like x < 2)


1) Draw a number line.
2) Place a Circle above the number in your
solution.
◦ IF < or >, make it an open circle … o
◦ IF < or >, make it a closed circle…

3) Shade one side of the number line.
◦ IF < or <, shade to the LEFT
◦ If > or >, shade to the RIGHT

1) -4n – 6 > 4n- 20
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2) 2(x + 4) < 6x – 9
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3) ½ (8x – 6) > 5x + 2

4) 1.2x + 3.1 < 3.5x – 3.8

5) -2(-5 – x)> 3(x + 2)+ 4 – x

6) 3(x + 5) < 6x – 3x + 20

7) 3 (n – 4) > 2 (n – 4)
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