Solve Each inequality.
1. m-7<6
m<-1
m>1
m<13
m<-13
2. x+4.5>5.5
x>10
x>1
x>0.1
x<1 (there was a _ underneath all of the <'s in that question)
3. p+12>9
p>21
p>3
p>-21
p>-3
4. Translate the following statement into an inequality: Five less than a number is at least nine.
x-5>9
x-9>5
x-5>9
x-5<9 (there was a _ underneath the first and last answer for the question)
solve just like an equation:
m-7<6
m<6+7
m<13
do the other two the same way
a number: x
Five less than a number: x-5
Five less than a number is at least nine: x-5 >= 9
1. m-7 < 6
Add 7 to both sides:
m - 7 + 7 < 6 + 7
m < 13
2. x + 4.5 > 5.5
Subtract 4.5 from both sides:
x + 4.5 - 4.5 > 5.5 - 4.5
x > 1
3. p + 12 > 9
Subtract 12 from both sides:
p + 12 - 12 > 9 - 12
p > -3
4. Translate the following statement into an inequality: Five less than a number is at least nine.
The inequality is:
x - 5 ≥ 9
1. To solve the inequality m-7<6, we need to isolate the variable m.
Step 1: Add 7 to both sides of the inequality:
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.
Step 1: Subtract 4.5 from both sides of the inequality:
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.
Step 1: Subtract 12 from both sides of the inequality:
p + 12 - 12 > 9 - 12
p > -3
Therefore, 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 need to understand that "less than" means subtracting and "at least" means greater than or equal to.
Step 1: Let x represent the number.
x - 5 >= 9
Therefore, the inequality is x - 5 >= 9.