Which values are solutions to StartFraction k minus 3 Over 4 EndFraction >–2? Select two options.

Question

k = –10
k = –7
k = –5
k = –1
k = 0

Answer 1

To solve the inequality \(\frac{k - 3}{4} > -2\), we first isolate \(k\).

1. Multiply both sides by 4 (since we are multiplying by a positive number, the inequality remains the same): \[ k - 3 > -8 \]

2. Add 3 to both sides: \[ k > -5 \]

Now we need to find the values from the provided options that satisfy \(k > -5\):

1. k = -10: \(-10 > -5\) is false.
2. k = -7: \(-7 > -5\) is false.
3. k = -5: \(-5 > -5\) is false (not strictly greater).
4. k = -1: \(-1 > -5\) is true.
5. k = 0: \(0 > -5\) is true.

The values that satisfy the inequality are \(k = -1\) and \(k = 0\).

Thus, the two options are:

• \(k = -1\)
• \(k = 0\)