We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
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You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
Hi! Coefficients are the numbers next the variable and you multiply them both. For an example -
1 : 6x
2 : x = 2
3 : 6 x 2 = 12
The image represent the graph of the function.
//Hope it helps.
4x+48-3y
you can just distribute the 4 to x+12
N-the number
n + 65 = 3n - 45 |subtract 65 from both sides
n = 3n - 110 |subtract 3n from both sides
-2n = -110 |divide both sides by (-2)
n = 55