9514 1404 393
Answer:
x > 4
Explanation:
Step 1. Locate the variable.
It is on the left side only.
Step 2. Identify any other terms on the same side of the equation as the variable.
+7 is a term there
Step 3. Add the opposite of that term to both sides of the inequality. (This is the "work." The previous two steps are observation: looking to see what you are working with. You should always start by doing that.)
x +7 -7 > 11 -7
x > 4 . . . . . . . . . . simplify (collect terms)
The solution is x > 4.
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Additional comment
This is a "one-step" inequality, because all we had to do was add -7. If there is a coefficient on the variable, it is a 2-step inequality. If there are variables on both sides of the comparison symbol, then more steps may be required.