What value of x is in the solution set of 9(2x + 1) < 9x – 18?

1 answer:

7 0

To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) < 9x - 18

Distribute 9:
18x + 9 < 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 < 9x - 18 - 9
18x < 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x < 9x - 27 - 9x
9x < -27

x < -3

Therefore, values of x < -3 will satisfy the given equation.

You might be interested in

Gertrude sold 104 cars last year. There are 52 weeks in a year. What was the rate at which she sold cars?

Debora [2.8K]

You are right. She sold 2 per week. 104/52=2

8 0

3 years ago

[2/SEC(¶/3)•[lim x→0 x^3+8x+10]^2]/[lim θ→0 sinθ/θ]

Oliga [24]

Assuming the pilcrow is supposed to represent pi:

$\frac{\frac{2}{sec(\frac{\pi}{3})}*(\lim_{x \to 0} x^3+8x+10)^2}{ \lim_{\theta \to 0} \frac{sine(\theta)}{\theta}}\\\frac{\frac{2}{\frac{1}{cosine(\frac{\pi}{3})}}*((0)^3+8(0)+10)^2}{\frac{sine((0))}{(0)}}\\\frac{\frac{2}{\frac{1}{\frac{1}{2}}}*(0+0+10)^2}{\frac{0}{0}}\\\frac{\frac{2}{2}*(10)^2}{ \lim_{\theta \to 0} \frac{cosine(\theta)}{1}}\\\frac{100}{cosine((0))}\\\frac{100}{1}\\100$

100

4 0

3 years ago

Number 4 only plzzz help asap its due tomorrow

____ [38]

B:
i=43 degrees
ii= 2 minutes
C:
10 degrees per minute
Sorry that's all I got

7 0

3 years ago

What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

kykrilka [37]

Since the sequence is geometric, there is some constant $r$ such that the sequence is recursively given by

$a_n=ra_{n-1}$

By this definition, you can recursively substitute into the right hand side the definition for $a_{n-1},a_{n-2},\ldots$ to find an explicit formula for the $n$ th term.

$a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}$

You know the second term, which means you can find $r$ :

$a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15$

So, the 7th term of the sequence is

$a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}$

8 0

3 years ago

Which compares the modes of the data?

sveta [45]

Answer:

I think C

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers