Final answer:
To solve the inequality 3x + 4 < 14, we simplify to find x < 3.3333; meaning the integer values of x in the interval [2, 7] that satisfy the inequality are 2 and 3.
Step-by-step explanation:
To find the integer values of x within the interval [2, 7] that satisfy the inequality 3x + 4 < 14, we first solve for x:
- 3x + 4 < 14
- 3x < 14 - 4
- 3x < 10
- x < 10 / 3
- x < 3.3333
Since x has to be an integer, the only integers in the interval [2, 7] that are less than 3.3333 are 2 and 3. Therefore, the integer values that satisfy the inequality are 2 and 3.