Step 1: Interpret the problem.
s = number of shirts bought
p = number of pants bought
Total Thomas will spend on the shirts = 6.50s
Total Thomas will spend on pants = 12p
Step 2: Write your inequality.
In this case, we are told he has $64, which means he can spend at most $64. This means he can spend less than or equal to $64 so we know the symbol “<” will be involved.
Knowing that the total he will spend is the sum of what he spends on shirts (6.50s) and the total he will spend on pants (12p), now we can construct our inequality:
6.50s + 12p < 64

Step 1: Remember Addition Rules for Odd/Even Numbers.
Odd Number + Odd Number = Even Number
Even Number + Even Number = Even Number
Odd Number + Even Number = Odd Number
Step 2: Try an example problem or interpret the situation.
Even Integer + Even Integer = Even Integer (New Sum 1)
Even Integer (New Sum 1) + Odd Integer =
Odd Integer(New Sum 2)
Step 3: Multiply the result from step 2 by an odd number.
Odd Number × Odd Number = Odd Number
Even Number × Even Number = Even Number
Odd Number × Even Number = Even Number
Odd Integer (New Sum 2) × Odd Integer = |Odd Integer
We expect the result to be an odd integer. The correct answer choices that could potentially be the answer to this problem would be 175 and 193.

Step 1: Get all x-terms to one side of the inequality.
We see that there is a 6x on the right side of the inequality, so we can subtract 6x from both sides so that we only have x-terms on the left side of the equation.
4x – 12 – 6x ≥ 6x + 2 – 6x
Which becomes:
-2x – 12 ≥ 2
Step 2: Solve the inequality.
We see that 12 is being subtracted from the -2x. The -12 is the constant term because there is no x attached, so we have to undo the subtraction by using addition.
-2x – 12 + 12 ≥ 2 + 12
Which becomes:
-2x ≥ 14
Now we can solve:
(-2x/-2) ≥ (14/-2)
When an inequality is divided by a negative number the inequality symbol switches direction as shown below:
x ≤ -7