You simply substitute each number in to see if it's true. First, try 3. 5x + 4 < 29 now becomes : 5(3) + 4 < 29. Simplify. 15 + 4 < 29 Simplify again. 19 < 29 This statement is true, so 3 works. Now try 4. 5(4) + 4 < 29 Simplify 20 + 4 < 29 Simplify again 24 < 29 This statement is true, so 4 works. Now try 5. 5(5) + 4 < 29 Simplify 25 + 4 < 29 Simplify again 29 < 29 This is not true, so 5 doesn't work. This means 6 also doesn't work. *** So your answers are 3 and 4 ***
The first graph is B. x^2 + 6 < 3 It is a parabola and opens upward when x^2 is positive. 6 raises it upwards by 6 units. the circle at x = 3 means that the function can approach but not be equal to 3.