write an inequality that can be solved using the Division Property of Inequality, where the symbol is NOT reversed.
2 x < 4
x < 2
To create an inequality that can be solved using the Division Property of Inequality without reversing the symbol, we'll need to choose appropriate values and constants. Let's consider the example:
2x + 3 ≥ 6
To solve this inequality using the Division Property, we'll need to isolate the variable x. Start by subtracting 3 from both sides of the inequality:
2x + 3 - 3 ≥ 6 - 3
Simplifying the equation:
2x ≥ 3
Now, to apply the Division Property, divide both sides of the inequality by 2 (since the coefficient of x is 2 and we are dividing by a positive number):
2x/2 ≥ 3/2
Simplifying further:
x ≥ 3/2
So, the inequality that satisfies the conditions (using the Division Property without reversing the symbol) is x ≥ 3/2.