Given the inequality x + 8 < 6, it follows that x < -2. When 7 is multiplied by -2, this results in -14. This represents the greatest value of 7x.
The student is asking for the greatest possible value of 7x given the inequality x + 8 < 6. Solving for x, we see that x is less than -2. In other words, x < -2. Sets formed by inequalities are continuous, meaning they include an infinite number of points. In this case, x could hypothetically reach towards negative infinity.
However, if we substitute x = -2 in the equation of 7x, the value would be -14. And if x continues to decrease (as it's less than -2), the value of 7x likewise continually decreases. Therefore, the greatest possible value of 7x in this context is -14 (which happens when x is -2).
#SPJ12
To find the greatest possible value of 7x, we need to determine the possible values of x based on the given inequality x + 8 < 6. The greatest possible value of 7x occurs when x is the smallest it can be, which is -2. Therefore, the greatest possible value of 7x is -14.
To find the greatest possible value of 7x, we first need to determine the possible values of x based on the given inequality x + 8 < 6.
Subtracting 8 from both sides of the inequality, we get x < -2.
Therefore, x can take any value less than -2. In this case, the greatest possible value of 7x would be when x is the smallest it can be, which is -2.
So, the greatest possible value of 7x is 7*(-2) = -14.
#SPJ3
1) 4(x-6)<2
2) 7n+19<8
3) 3(11+x)>=15
4) 4n-12<6
5) 2n+14>=1
6) 2(x+7)>=10
7) 11n-3>9
8)8x+4<=13
9)5n+16>=9
10) 4(x+2)<14