Solve the inequality
1. m - 7 < 6
2. x + 4.5 more than or equal to 5.5
3.p + 12 > 9
4. Translate the following statement into an inequality: Five less than a number is at least nine.
x - 5 more than or equal to 9
1) try this - add 7 to both sides of the inequality
m - 7 < 6 then becomes
m - 7 + 7 < 6 + 7 which becomes
m < 13
see how that worked??
try it on number 3
To solve these inequalities, we'll follow the same steps for each one. Let's start with the first one:
1. m - 7 < 6
Step 1: Isolate the variable
Add 7 to both sides of the inequality to isolate the variable, m.
m - 7 + 7 < 6 + 7
m < 13
So the solution for the inequality is m < 13.
Now let's move on to the second inequality:
2. x + 4.5 ≥ 5.5
Step 1: Isolate the variable
Subtract 4.5 from both sides of the inequality to isolate the variable, x.
x + 4.5 - 4.5 ≥ 5.5 - 4.5
x ≥ 1
The solution for the inequality is x ≥ 1.
Next, let's solve the third inequality:
3. p + 12 > 9
Step 1: Isolate the variable
Subtract 12 from both sides of the inequality to isolate the variable, p.
p + 12 - 12 > 9 - 12
p > -3
The solution for the inequality is p > -3.
Lastly, let's translate the statement into an inequality:
4. "Five less than a number is at least nine" can be translated as:
x - 5 ≥ 9
The solution for this inequality is x - 5 ≥ 9.