When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...

(2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

Three solutions are shown:

(x, y) = (2, 9), (3, 10), (4, 11)

4 0

2 years ago

Given: x - 5 > -2. Choose the solution set. {x | x R, x > -7} {x | x R, x > -3} {x | x R, x > 3} {x | x R, x > 7}

sweet-ann [11.9K]

Answer:

{x | x ∈ R, x > 3}

Step-by-step explanation:

We are given the following inequality:

x - 5 > -2

In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:

x - 5 + 5 > -2 + 5

x > 3

So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.

So, {x | x ∈ R, x > 3} is the answer.

4 0

3 years ago