Chat with our AI personalities
a "solution"
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
TRUE!
Oh, what a happy little question you have there! When we replace a variable with a value in an equation or sentence and it makes the sentence true, we're finding a solution that works perfectly. It's like adding a touch of color to a blank canvas, bringing harmony and balance to the mathematical world. Just remember, there are infinite possibilities waiting to be discovered!
A sentence is made up of two expressions connected by an equal sign or an inequality sign (such as <). If there's an '=' sign, it's an equation, otherwise it's an inequality. A sentence with a variable in it is called an open sentence - you need to put a number in for the variable to see whether it is true or false. If the sentence has no variable in it, then we can decide whether it is true or false. Examples of a true sentences: 1 + 6 = 7 4 > 2 5 + 17 = 11 times 2 .