Answer:
x > 35
Explanation:
Let's denote the width of the picture frame as "x" inches.
According to the problem, the length of the picture frame is 7 inches more than the width, so it can be expressed as "x + 7" inches.
The perimeter of the picture frame can be found by adding up the lengths of all four sides, which is given by:
Perimeter = 2*(length + width)
Substituting the values of length and width in terms of x, we get:
Perimeter = 2*(x + 7 + x)
Perimeter = 4x + 14
Now we can set up an inequality to find the values of x for which the perimeter is greater than 154 inches:
4x + 14 > 154
Subtracting 14 from both sides, we get:
4x > 140
Dividing both sides by 4, we get:
x > 35
Therefore, the values of x for which the perimeter of the picture frame is greater than 154 inches are x > 35.