Download Write an inequality for each statement. Then sketch the graph of the

September 14, 2016
How can you use an inequality to describe a real-life statement?
Write an inequality for each statement. Then sketch the graph of the
numbers that make each inequality true.
a. Statement The temperature t in Sweden is at least −10°C.
Inequality:
Graph
b. Statement The elevation e of Alabama is at most 2407 feet.
Inequality:
Graph
September 14, 2016
September 14, 2016
Write an inequality for each graph. Then, in words, describe all the
values of x that make each inequality true.
September 14, 2016
September 14, 2016
<
• Less than
• lower than
• smaller than
• below
• under
<
• Less than or
equal to
• less than and
including
• maximum
• at most
>
• greater than
>
• higher than
• greater than
or equal to
• bigger than
• at least
• larger than
• minimum
• above
• more than
September 14, 2016
Write each sentence as an inequality.
a. A number w minus 3.5 is less than or equal to −2.
w - 3.5 < -2
b. Three is less than a number n plus 5.
3<n+5
c. Zero is greater than or equal to twice a number x plus 1.
0 > 2x + 1
September 14, 2016
Write each sentence as an inequality.
1. Twelve is greater than or equal to five times a number n.
12 > 5n
2. One third of a number h is less than 15.
1/3 h < 15
3. Seven is less than or equal to the difference of a number q and 6.
7<q-6
4. The sum of a number u and 14 is more than 6.
u + 14 > 6
September 14, 2016
Write the sentence as an inequality.
1. A number b is smaller than 30.4.
2.
is at least twice a number k minus 4.
-0.7
September 14, 2016
Tell whether −4 is a solution of each inequality.
a. x + 8 < −3
b. −4.5x > −21
September 14, 2016
5. Tell whether 19 is a solution of the inequality:
d - 7 < 12
6. Tell whether 1 is a solution of the inequality:
9 > 3n + 6
September 14, 2016
Graph each inequality.
a. y ≤ −3
b. 2 < x
c. x > 0
September 14, 2016
Graph the inequality.
7. x > 3
8. x > 4
9. x > -1
10. x < 1
September 14, 2016
The graphs show the height restrictions h (in inches) for two rides at an
amusement park. Write an inequality that represents the height
restriction of each ride.
September 14, 2016
a. Write an inequality that represents the graph.
September 14, 2016
Write an inequality that represents the graph.
11.
-5
-4
-3
-2
-1
1
0
2
3
5
4
12.
-5
-4
-3
-2
-1
0
1
2
3
4
5
-5
-4
-3
-2
-1
0
1
2
3
4
5
-5
-4
-3
-2
-1
0
1
2
3
4
5
13.
14.
September 14, 2016
Pg 58: 1-­‐3, 4 – 44 x4, 46, 51, 52, 54, 64 – 67