Which Values of X Satisfy the Inequality 0.5x-0.75 3.25?

There are two values of x that will make the inequality true, they are 2.6 and 4. Although any value greater than or equal to 2.6 will work, 4 is the only whole number value that will work. To get these numbers, we must solve the inequality.

0.5x-0.75<3.25

0.5x<3.75

x<7.5

2.6

4

Additional reading: Which Equation Is True for X 6 and X 2?

There are an infinite number of values of x that could satisfy the inequality 0.5x-0.75<3.25. However, some possible values of x that would satisfy the inequality are:

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2

To find more values of x that would satisfy the inequality, we can solve for x.

0.5x-0.75<3.25

0.5x<4

x<8

So, any value of x that is less than 8 would satisfy the inequality.

Explore further: Which Values of X Satisfy the Inequality?

The smallest value of x that satisfies the inequality 0.5x-0.75<3.25 is 3. This can be seen by solving the inequality for x.

0.5x-0.75<3.25

0.5x<4

x<8

Therefore, the smallest value of x that the inequality is true for is 3.

A unique perspective: Which Inequality Is Graphed Below?

The largest value of x that satisfies the inequality 0.5x-0.75<3.25 is 7.5. To see this, note that when x=7.5, we have

0.5x-0.75=3.25

Multiplying both sides by 2, we have

x-1.5=6.5

Adding 1.5 to both sides, we have

x=8

Therefore, the largest value of x that satisfies the inequality is 7.5.

On a similar theme: Which Inequality Is Equivalent To?

There are many possible values of x that make the inequality 0.5x-0.75 3.25 true. Some of these values include: -6.5, -3, 0, 3.5, and 6.5.

To start, we can graph the inequality to visualize the solution set. We will use a number line and shading to denote the solution set.

numbers less than -6.5: ____________________________

-6.5 -3 0 3.5 6.5 ____________________________

numbers greater than 6.5: ___________________________

From the graph, we can see that the inequality is true for all numbers less than -6.5 and all numbers greater than 6.5. For numbers between -6.5 and 6.5, the inequality is true if and only if x is not equal to -3 or 3.5. This can be seen by the fact that these points are not included in the shaded solution set.

So, in summary, the possible values of x that make the inequality 0.5x-0.75 3.25 true are: -6.5, -3, 0, 3.5, and 6.5.

Broaden your view: Equation True

Assuming that you would like an answer to the question as stated, and not a discussion of the principles involved in solving inequalities, the answer is x=5. The given inequality is true when x is any value greater than or equal to 5.

To see this, note that when x=5, the value of 0.5x-0.75 is 3.25, and so the inequality is satisfied. If x is greater than 5, then the value of 0.5x-0.75 will be greater than 3.25, and so the inequality will still be satisfied.

On the other hand, if x is less than 5, the value of 0.5x-0.75 will be less than 3.25, and so the inequality will not be satisfied. Therefore, the smallest value of x that makes the inequality true is 5.

See what others are reading: Proportion True

Assuming you would like an algebraic answer to this question, we can set the inequality equal to zero and solve for x.

0.5x - 0.75 = 3.25

0.5x = 4

x = 8

Therefore, the largest value of x that makes the inequality true is 8.

For another approach, see: 10 8

For what values of x is 0.5x-0.75<3.25 true?

This can be written as an inequality as follows:

0.5x - 0.75 < 3.25

To solve for x, we can add 0.75 to each side of the inequality:

0.5x < 4

Then, we can divide each side of the inequality by 0.5:

x < 8

Therefore, the solution set is x < 8.

For what values of x is 0.5x-?

This equation is undefined for x values less than -2 or greater than 2. For all other values of x, the equation equals 0.5x minus whatever value is plugged in for x. For example, when x equals 1, the equation becomes 0.5x-1, which equals 0.5.

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