3q + 11 + 8q > 99
11q + 11 > 99
Subtract '11' from both sides
11q > 99 - 11
11q > 88
Divide both sides by (+)11
q > 88/11
q > 8 ('q' is greater than '8').
Verification
When q = 7 (8)
11(9) = 99 > 88 (True)
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You solve an inequality the same way you solve an equality. You add and subtract, multiply and divide, both sides by the same value in order to isolate one of the variables. The only extra thing you need to remember is that if you multiply or divide by a negative number, you must reverse the order of the inequality, i.e. less than or equal becomes greater than or equal.
This is called an inequality. If x squared is greater than or equal to 49, then x is plus or minus 7 or greater than plus 7 or less than - 7.
The sign is "greater than or equal to" or ≥
It depends on the specific inequality. In the simplest cases, it is solved just like an equation; except that you must be careful when multiplying and dividing - if you multiply or divide both sides by a negative number, you must switch the inequality sign. For instance, a "less-than" sign would be changed to a "greater-than" sign.
p is less than 12.