CPM Homework Help : ACC7 Problem 6-42

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Home > ACC7 > Chapter 6 Unit 1 > Lesson CC2: 6.1.4 > Problem 6-42

6-42.

Solve each of the following inequalities. Represent the solutions algebraically (with symbols) and graphically (on a number line).

Hint:

Solve each inequality like you would solve any equation.
Solve for the variable by isolating the variables and number values.

$3x-3<2-2x$
Step 1 (a):
$\quad 3x-3<2-2x\\ +2x\qquad \quad \ \ +2x$
Step 2 (a):
Note: Steps 1 and 2 can happen in any order.
$5x-3<2\\ \quad +3\ +3\\ 5x+0<5$
Step 3 (a):
Use this simplified inequality to graph the inequality on a number line.
Then try part (b) using the same strategy.
Answer (a):
$\frac{5x}{5}<\frac{5}{5}\\ \ \ x < 1$

$\frac{4}{5}x\ge8$
Answer (b):
$x\ge10$

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