1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. SOL:...
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1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. SOL: A.1, A.3 6.1 Solving Inequalities with adding and subtracting Designed by Skip Tyler, Varina High School Edited by Eddie Judd, Crestwood Middle School
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Transcript of 1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. SOL:...
1. graph inequalities on a number line.
2. solve inequalities using addition and subtraction.
SOL: A.1, A.3
6.1 Solving Inequalities with adding and subtracting
Designed by Skip Tyler, Varina High SchoolEdited by Eddie Judd, Crestwood Middle School
1) Graph the solution set ofx < 3.
When you have < or >, use an open dot!
0 5-5o
2) Graph the solution set ofy ≥ -5/4.
When you have ≤ or ≥, use a closed dot!
Converting -5/4 to a decimal = -1.25
0 5-5 •
3) Graph the solution set ofp ≠ 2.
When you have ≠, use an open dot and shade both ways!
0 5-5o
4) Which inequality would have a closed dot on the number line?
1. >
2. <
3. ≥
4. ≠
Answer NowAnswer Now
5) Which inequality does NOT use an open dot on the number line?
1. ≤
2. <
3. >
4. ≠
Answer NowAnswer Now
6) Solve x + (-14) < 16 x - 14 < 16
+ 14 + 14
{x|x < 30}
30 + (-14) = 16
16 = 16
Solve this problem like an equation
1. Draw “the river”2. Eliminate double signs3. Add 14 to both sides4. Simplify Set Notation5. Check your limit6. Graph the solution
o30 3129
7) Solve y + 21 ≥ 7 - 21 -21
{y|y ≥ -14}
(-14) + 21 = 7
7 = 7
1. Draw the “river”2. Subtract 21 from
both sides3. Simplify in
Set Notation4. Check your limit5. Graph the solution
-14 -13-15●
8) Solve 8y + 3 > 9y - 14
o17 1816
- 8y - 8y
3 > y - 14
+ 14 + 14
17 > y
{y|y < 17}8(17) + 3 = 9(17) - 14
1. Draw “the river”
2. Subtract 8y from both sides
3. Simplify
4. Add 14 to both sides
5. Simplify
6. Rewrite inequality in Set Notation
7. Check your limit
8. Graph the solution
9) What is the graph of 7 ≤ m?
o7 86o7 86●7 86
7 86●
1.
2.
3.
4.
Answer NowAnswer Now
10) Solve 3r - 17 ≥ 2r + 14
●31 3230
- 2r - 2r
r – 17 ≥ 14
+ 17 + 17
{r|r ≥ 31} 3(31) - 17 = 2(31) + 14
1. Draw “the river”
2. Subtract 2r from both sides
3. Simplify
4. Add 17 to both sides
5. Simplify in Set Notation
6. Check your limit
7. Graph the solution
11) Solve -2x + 6 ≥ 3x - 41. {x|x ≥ -2}
2. {x|x ≤ -2}
3. {x|x ≥ 2}
4. {x|x ≤ 2}
Answer NowAnswer Now
12) Joanna’s tests were 87, 93, 88 and 94. What must her 5th grade be
to get a total of at least 459?
Answer NowAnswer Now
1. 96
2. 97
3. 98
4. 100
