7 > 1 this true.
7 - 5 > 1 - 5
2 > - 4 this also is true (remember, numbers grow up from the left to the right in a number line).
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The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.
-5x + 4 > -2x + 31 add 2x and subtract 4 to both sides; -3x > 27 divide by -3 to both sides and change the symbol of the inequality; x < 9
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.
I am assuming that the original equation is 33z-4-20=z-5. Subtract z from both sides. Add 4 to both sides, as well as add 20 to both sides. Divide both sides by 32.
2t-6=3-t 3t-6=3 Add t to both sides 3t=9 Add 6 to both sides t=3 Divide both sides by 3