Transcript Solving two-step inequalities. 1. 2. 3. 4. 5. 6. 7. 1) Solve 5m - 8 > 12 Draw “the river” +8 +8 Add 8 to both sides 5m > 20 Simplify Divide both.

Solving two-step inequalities.
1.
2.
3.
4.
5.
6.
7.
1) Solve 5m - 8 > 12
Draw “the river”
+8 +8
Add 8 to both sides
5m > 20
Simplify
Divide both sides by 5
5
5
Simplify
Check your answer
m>4
Graph the solution
5(4) – 8 = 12
3
o
4
5
1.
2.
3.
4.
5.
2) Solve 12 - 3a > 18
Draw “the river”
- 12
- 12
Subtract 12 from both
-3a > 6
sides
Simplify
-3 -3
Divide both sides by -3
Simplify
a
<
-2
(Switch the inequality!)
Check your answer
12 - 3(-2) = 18
6.
7. Graph the solution
-3
o
-2
-1
Which graph shows the solution to
2x - 10 ≥ 4?
1.
.
2.
3.
4.
Answer Now
3) Solve 5m - 4 < 2m + 11
1. Draw “the river”
2. Subtract 2m from both
sides
3. Simplify
4. Add 4 to both sides
5. Simplify
6. Divide both sides by 3
7. Simplify
8. Check your answer
9. Graph the solution
4
-2m
-2m
3m - 4 < 11
+4 +4
3m < 15
3
3
m<5
5(5) – 4 = 2(5) + 11
o
5
6
4) Solve 2r - 18 ≤ 5r + 3
1.
2.
3.
4.
5.
6.
7.
8.
9.
Draw “the river”
Subtract 2r from both sides
Simplify
Subtract 3 from both sides
Simplify
Divide both sides by 3
Simplify
Check your answer
Graph the solution
-8
-2r
-2r
-18 ≤ 3r + 3
-3
-3
-21 ≤ 3r
3
3
-7 ≤ r or r ≥ -7
2(-7) – 18 = 5(-7) + 3
●
-7
-6
6) Solve -2x + 6 ≥ 3x - 4
1.
2.
3.
4.
x≥
x≤
x≥
x≤
-2
-2
2
2
Answer Now
5) Solve
1.
2.
3.
4.
5.
6.
7.
8.
9.
Draw “the river”
Subtract 14p from both
sides
Simplify
Add 20 to both sides
Simplify
Divide both sides by 12
Simplify
Check your answer
Graph the solution
6
26p - 20 > 14p + 64
-14p
-14p
12p – 20 > 64
+ 20 + 20
12p > 84
12
12
p>7
26(7) – 20 = 14(7) + 64
o
7
8
What are the values of x if
3(x + 4) - 5(x - 1) < 5?
1.
2.
3.
4.
x < -6
x > -6
x<6
x>6
Answer Now
Thanks for coming!