Split it into two parts, solve each part as if it had an "=" sign instead of an inequality. Ex: -6<3x+2<12 -6<3x+2; -8<3x; -8/3<x Other side-- 3x+2<12; 3x<10; x<10/3 Then put them back together. -8/3<x<10/3 *Make sure you remember to switch the direction of the inequality symbol if you are dividing by a negative number.*
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
To solve the above inequality equation it has to have an equality sign so that i group all the the knowns and the unknowns.
3x + 2y = 12 ie 2y = 12 - 3x so y = 6 - 3x/2
3x=12 3x/3=12/3 x=4
A double inequality is an inequality where there are two signs, as opposed to one.Ex: an inequality could be 3x < 15A double inequality could be 3x < 15 < x + 20If you'd want to solve that double inequality, you split it into to expressions:3x < 15 and x + 20 > 15Then just solve.x < 5 and x > -5-5 < x < 5
-9
y-3x+6y=12 7y=3x+12 y=3x/7 +12/7
The question contains an expression but not an equation or inequality. There is, therefore, nothing to solve!
7x = 3x - 12 4x=-12 x=-3
10
5 - 3x = 17 is not an inequality, it is an equation. Inequalities never have equal signs in them, only "less/greater than", and "less/greater than or equal to" signs.To solve the equation:Step 1: Add 3x to both sides: 5 = 17 + 3xStep 2: Subtract 17 from both sides: -12 = 3xStep 3: Divide both sides by 3: x = -4The solution to the equation is x = -4