An inequality requires an inequality sign, usually "less than", "less-than-or-equal", "greater than", or "greater than or equal".
Assuming one of these inequality signs is between the "4x" and the "12", for example:
4x < 12,
just divide both sides by 4. Just as when you solve equations, the idea is to isolate the variable on one side.
Division by 4: 4x ≤ 12 divide both sides by 4: x ≤ 3
To find the inequality with 20 as a solution, we can represent it as x > 20, x ≥ 20, x < 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.
4g < 7g+12 Subtract 7g from both sides: 4g-7g < 12 -3g < 12 Divide both sides by -3 and reverse the inequality sign: g > -4 on the number line
x=2, 3, 4...
To solve the inequality 3x ≥ 12, you need to isolate x. First, divide both sides by 3 to get x ≥ 4. This means that any value of x that is greater than or equal to 4 satisfies the inequality. In interval notation, the solution is [4, ∞).
'r' is equal to, or anywhere between, -13 and 38 .
There is no solution to: 4(2x + 2) + 12 > 1004(2x + 2) + 12 > 100 For 4(2x + 2) + 12 > 1004(2x + 2) + 12 to have a solution x < -1 which makes 1004(2x + 2) + 12 < 12, BUT 1004(2x + 2) + 12 is supposed to be greater than 100. Perhaps there is a missing operator in the digits of 1004?
P<12
-30
The inequality that fits this condition is that x is greater than or equal to -12.
Without an equality sign the given expression is not an equation and so therefore a solution is not possible.
4 < x < 20