Answer:
$72
Step-by-step explanation:
Let's use substitution to identify the cost of 24 notebooks.
<u>The equation is represented as:</u>
<u>Substitute 24 </u><u>into</u><u> </u><u>x</u><u>:</u>
<u>
</u>
<u>Solve</u><u>:</u>
Answer:
Translate. .
Solve—divide both sides by 12. .
Simplify. .
Write in interval notation. .
Graph on the number line. .
Step-by-step explanation:
Translate and solve. Then write the solution in interval notation and graph on the number line.
Thirty less than x is at least 45.
Solution
Translate. .
Solve—add 30 to both sides. .
Simplify. .
Write in interval notation. .
Graph on the number line. .
1. 4.5g + 6 < = 40
4.5g < = 40 - 6
4.5g < = 34
g < = 34/4.5
g < = 7.56
True statement : John can buy 7 gallons but not 8
2. 250 + 3b < = 800
3b < = 800 - 250
3b < = 550
b < = 550/3
b < = 183.33
True statement : The maximum number of new baseballs that can be purchased is 183
3. 3x + 6 > 15
3x > 15 - 6
3x > 9
x > 9/3
x > 3
4. 4x - 6 < 2x + 8
4x - 2x < 8 + 6
2x < 14
x < 14/2
x < 7
5. 3 - 2x > 9
-2x > 9 - 3
-2x > 6 ...when dividing by a negative, u flip the inequality sign
x < -6/2
x < -3
True statement : - 2
7. 3x - 3 < -12 OR -4x < = -32
3x < -12 + 3 x > = -32/-4
3x < - 9 x > = 8
x < -9/3
x < -3
answer : x < - 3 OR x > = 8
8. -7x + 9 < 72 AND 5x - 3 < = 7
-7x < 72 - 9 5x < = 7 + 3
-7x < 63 5x < = 10
x > -63/7 x < = 10/5
x > - 9 x < = 2
answer : -9 < x < = 2
D IS THE CORRECT ONE Step-by-step explanation:
