CPM Homework Help : MC2 Problem 5-78

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Home > MC2 > Chapter Ch5 > Lesson 5.2.4 > Problem 5-78

5-78.

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

Help:

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

$3x-4 < 3-2x$
Step 1(a):
$3x − 4 < 3 − 2x$
$+ 2x + 2 x$
Step 2(a):
Note: Steps 1 and 2 can happen in any order.
$5x − 4 < 3$
$+4 +4$
$5x + 0 < 7$
Step 3(a):
Simplify.
$5x < 7$
Step 4(a):
$\frac{5x}{5} \text{ < } \frac{7}{5}$
Use this simplified inequality to create a number line similar to problem 4-68.
Now try part (b) using the same strategy.

$\frac { 4 } { 5 } x \geq 7$
Answer (b):
$x \ge \frac{35}{4}$

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