1. m-7<6
2. x+4.5≥5.5
3. p+12>9
4. Translate the following statement into an inequality: Five less than a number is at least nine.
Answers:
1.) C
2.) B
3.) D
4.) A
5.) C
100%
1. m-7<6
Add 7 to both sides.
2. x+4.5≥5.5
Subtract 4.5 from both sides.
3. What do you think?
4. n - 5 >= 9
1. To solve the inequality m - 7 < 6, we need to isolate the variable m.
Adding 7 to both sides of the inequality, we get:
m - 7 + 7 < 6 + 7
m < 13
Therefore, the solution to the inequality is m < 13.
2. To solve the inequality x + 4.5 ≥ 5.5, we need to isolate the variable x.
Subtracting 4.5 from both sides of the inequality, we get:
x + 4.5 - 4.5 ≥ 5.5 - 4.5
x ≥ 1
Therefore, the solution to the inequality is x ≥ 1.
3. To solve the inequality p + 12 > 9, we need to isolate the variable p.
Subtracting 12 from both sides of the inequality, we get:
p + 12 - 12 > 9 - 12
p > -3
Therefore, the solution to the inequality is p > -3.
4. The statement "Five less than a number is at least nine" can be written as an inequality.
Let's assume the number is represented by the variable x.
The expression "Five less than a number" can be written as x - 5.
The expression "is at least nine" means the result should be greater than or equal to 9.
Therefore, the inequality statement is:
x - 5 ≥ 9.
1. To solve the inequality m - 7 < 6, we want to isolate m on one side of the inequality sign.
- Start by adding 7 to both sides of the inequality: m - 7 + 7 < 6 + 7.
- Simplify: m < 13.
- So, the solution to the inequality is m < 13.
2. To solve the inequality x + 4.5 ≥ 5.5, we want to isolate x on one side of the inequality sign.
- Start by subtracting 4.5 from both sides of the inequality: x + 4.5 - 4.5 ≥ 5.5 - 4.5.
- Simplify: x ≥ 1.
- So, the solution to the inequality is x ≥ 1.
3. To solve the inequality p + 12 > 9, we want to isolate p on one side of the inequality sign.
- Start by subtracting 12 from both sides of the inequality: p + 12 - 12 > 9 - 12.
- Simplify: p > -3.
- So, the solution to the inequality is p > -3.
4. To translate the statement "Five less than a number is at least nine" into an inequality, we can use the variable n to represent the number.
- "Five less than a number" can be written as n - 5.
- "Is at least nine" can be written as ≥ 9.
- Combining the two parts, the inequality becomes: n - 5 ≥ 9.