1.) 3x -4 <_ 2
Add 4 to both sides.
-4 + 4 = 0
2 + 4 = 6
3x <_ 6
Divide both sides by 3.
3x / 3 = x
6 / 3 = 2
x <_ 2 is your answer for the first inequality.
2.) 2x + 11 _> -1
Subtract 11 from both sides.
11 - 11 = 0
-1 -1 = -2
2x _> -12
Divide both sides by 2.
2x / 2 = x
-12 / 2 = -6
x _> -6 is your answer for the second inequality.
I hope this helps!
18/5 ÷2=18/5x1/2 =9/5
reciprocal=5/9
Answer:
C. 
Step-by-step explanation:
One is asked to find which inequality has (
) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has () as a part of its solution set.
A. 
B. 
C.
D. 
As can be seen, option (C ) is the only one that fits this requirement. Since option (C) simplifies down to () or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
