No, that is not an appropriate way to check. That shows that there exist a number, less than 9, that satisfies the equation. It does not show that every number less than 9 satisfies it.RTCNTC said:Good to be correct.
2x - 7 < 11
The value of x must be less than 9 to make the original inequality a true statement.
Let x = 0
2(0) - 7 < 11
0 - 7 < 11
-7 < 11
This is true. So, x < 9 is correct.
An inequality is a mathematical statement that compares two quantities, typically using symbols such as <, >, ≤, ≥, or ≠. It states that one quantity is greater than, less than, or not equal to another quantity.
To solve an inequality, you need to isolate the variable on one side of the inequality sign and the constant on the other side. You can use the same rules as solving equations, but if you multiply or divide by a negative number, you must flip the inequality sign.
The number 4 represents either a constant or a variable in the inequality. It could be any number, depending on the context of the problem. In general, the goal is to find the values of the variable that make the inequality true.
Yes, an inequality can have an infinite number of solutions. This is because it represents a range of values that make the statement true. For example, the inequality x > 4 has an infinite number of solutions, such as 5, 6, 7, etc.
Solving an inequality involves finding a range of values that make the statement true, while solving an equation involves finding a specific value that makes the equation true. Inequalities also use different symbols and rules, such as flipping the inequality sign when multiplying or dividing by a negative number.