Transcript PPadua-Douglas,E. HMWK 2012-10-23 13477

October 22, 2012
What is an inequality? How do you solve them?
DO NOW: Solve.
1) x + 19 = -9 2) -5x = -40
3) 4p – 6 = 2p
4. Write an equation for the following situation, then
solve.
During the 11th grade outdoor ed trip, we canoed a
total of 26 miles down the Colorado River. How many
miles did we canoe the first day if we did 14 the last
two days of our trip.
HW 6.1-6.2: Solving
Inequalities Worksheet
Questions on Problem Set 1?
Lesson 6.1 Solving One-step
Inequalities
Inequality – A number sentence that has
more than one solution.
x < -3
-10
-10
-8
x is all real numbers less than -3.
-6
-8
-2
0
2
4
6
8
10
10
x is less than or equal to -3.
x ≤ -3
-10
-10
-4
-6
-4
-2
0
2
4
6
8
10
10
Is solving an inequality the same as
solving an equation?
Solve and Graph.
1. x + 7 > -8
YES, but there’s
one difference
2. 6x ≥ -54
3. x – 12 < -3
x
4. 10 
5
Hint: Pretend the < or >
is an = sign
Here’s the difference:
**When multiplying or dividing by a negative
to both sides, you must flip the < or > sign.
-3x ≤ 24
-10
-10
-8
-6
-4
-2
0
2
4
Why do we have to flip the sign???
6
8
10
10
Practice: Solve and Graph
1. x – 17 > -10
2. -20 ≤ x + 3
3. 4x < -32
x
 10
4.
5
5. 6p < 5 – 2p
Translating Inequalities
< Less than
≤ Less than or equal to
> Greater than
≥ Greater than or equal to
≤ “at most”
≥ “at least”
Translate and graph on a number line:
1. A number is at least 8.
2. A number is less than -5.
Practice translating
1. A number plus 7 is greater than -8.
2. Six times a number is at least -54.
3. Five less than a number is less than 10.
4. The product of -3 and a number is at
most 24.