Question

9. Use the following examples to draw conclusions about solving absolute value inequalities. +++++ 0 a) Solve and graph on a number line $|2x - 7| \le 15$ $2x - 7 \le 15$: $x \le 11$ $2x - 7 \ge -15$: $x \ge -4$ b) Solve and graph on a number line $|2x - 7| > 15$ $2x - 7 > 15$: $x > 11$ $2x - 7 < -15$: $x < -4$ c) How are the graphs from A and B similar? How are they different? They are solved the same way but A includes numbers less than 11 and greater than -4. B includes numbers greater than 11 and less than -4. d) Solve and graph on a number line $|2x + 1| - 12 \le 27$ e) Solve and graph on a number line $|2x + 1| - 12 \ge 27$ f) How are the graphs from C and D similar? How are they different? g) What is similar about the solution set for A and D? h) What is similar about the solution set for B and E?

          9. Use the following examples to draw conclusions about solving absolute value inequalities.
+++++ 
0
a) Solve and graph on a number line $|2x - 7| \le 15$
$2x - 7 \le 15$: $x \le 11$
$2x - 7 \ge -15$: $x \ge -4$
b) Solve and graph on a number line $|2x - 7| > 15$
$2x - 7 > 15$: $x > 11$
$2x - 7 < -15$: $x < -4$
c) How are the graphs from A and B similar? How are they different?
They are solved the same way but A includes numbers
less than 11 and greater than -4. B includes numbers
greater than 11 and less than -4.
d) Solve and graph on a number line $|2x + 1| - 12 \le 27$
e) Solve and graph on a number line $|2x + 1| - 12 \ge 27$
f) How are the graphs from C and D similar? How are they different?
g) What is similar about the solution set for A and D?
h) What is similar about the solution set for B and E?

9. Use the following examples to draw conclusions about solving absolute value inequalities.
+++++
0
a) Solve and graph on a number line |2x - 7| ≤ 15
2x - 7 ≤ 15: x ≤ 11
2x - 7 ≥ -15: x ≥ -4
b) Solve and graph on a number line |2x - 7| > 15
2x - 7 > 15: x > 11
2x - 7 < -15: x < -4
c) How are the graphs from A and B similar? How are they different?
They are solved the same way but A includes numbers
less than 11 and greater than -4. B includes numbers
greater than 11 and less than -4.
d) Solve and graph on a number line |2x + 1| - 12 ≤ 27
e) Solve and graph on a number line |2x + 1| - 12 ≥ 27
f) How are the graphs from C and D similar? How are they different?
g) What is similar about the solution set for A and D?
h) What is similar about the solution set for B and E?

Added by Denise N.

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