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alg
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frctl said:
If x= -2 then x is certainly less than 9/2= 4 but -2x- 6= 4- 6= -2 is not less than -3 so that can't be right.frctl said:
frctl said:
The equation 1-(x-3)/3 ≤ 1/2 is an inequality that represents a range of values for x that make the equation true. It is read as "1 minus the quantity (x-3) divided by 3 is less than or equal to 1/2."
To solve the inequality, you must isolate the variable x on one side of the inequality symbol. First, you can multiply both sides by 3 to get rid of the fraction. Then, you can simplify the equation to get x-3 ≤ 3/2. Finally, you can add 3 to both sides to get the solution x ≤ 9/2.
Yes, this inequality can have more than one solution. In this case, the solution is a range of values for x that make the inequality true. In our example, the solution is x ≤ 9/2, which means any value of x that is less than or equal to 9/2 will make the inequality true.
To graph this inequality, you can start by graphing the line y = 1-(x-3)/3. Then, you can shade the area below the line to represent the values that make the inequality true. In our example, this would be the area below the line y = 1/2. The shaded area will represent the solution to the inequality.
Solving this inequality can help us understand the range of values for x that make the equation true. It can also help us make decisions or predictions based on the given conditions. In scientific research, solving inequalities can be used to analyze data and make conclusions about relationships between variables.
