Parts of a linear equation

Q.

Solve the inequality 2 ≤ 3x – 4 ≤ 5

Q. Solve for x the following equation Log(6x^2 +23x+21) to the vse (2x+3) = 4 - log (4x^2+12x+9) to the base (3x+7). Explain in detail.

Q.

Solve the given inequality for real x: 3x – 7 > 5x – 1

Q.

The solution of the initial value problem e^dy/dx = x + 1, y(0) = 3 is:

1. 

2. 

3. 

4. 

Q.

(a) Complete the table and by inspection of the table, find the solution to the equation m + 10 = 16.

m	1	2	3	4	5	6	7	8	9	10	…
m + 10	−	−	−	−	−	−	−	−	−	−	−

(b) Complete the table and by inspection of the table, find the solution to the equation 5t = 35.

t	3	4	5	6	7	8	9	10	11	…
5t	−	−	−	−	−	−	−	−	−	−

(c) Complete the table and find the solution of the equation z/3 = 4 using the table.

z	8	9	10	11	12	13	14	15	16	...
		3		−	−	−	−	−	−	−

(d) Complete the table and find the solution to the equation m − 7 = 3

m	5	6	7	8	9	10	11	12	13	…
m − 7	−	−	−	−	−	−	−	−	−	−

Q.

Solve the given inequality for real x: 4x + 3 < 5x + 7

Q.

Enter the values for the highlighted variables to complete the steps to find the sum:

$\begin{array}{rcl}\frac{3x}{2x-6}+\frac{9}{6-2x}& =& \frac{3x}{2x-6}+\frac{9}{a(2x-6)}\\ & =& \frac{3x}{2x-6}+\frac{b}{(2x-6)}\\ & =& \frac{3x-c}{2x-6}\\ & =& \frac{d\left(x-e\right)}{f\left(x-3\right)}\\ & =& g\end{array}$

Q. Let $f\left(x\right)=x^2\mathrm{and}g\left(x\right)=2^x$. Then, the solution set of the equation $fog\left(x\right)=gof\left(x\right)$ is
(a) R
(b) {0}
(c) {0, 2}
(d) none of these

Q. If 3x + 5 = 11

Which of the following value of x will satisfy the given equation?

1. 3
2. 2
3. 0
4. 1

Q.

Solve the equation x² + 3x + 5 = 0

Q. $\frac{(3-k)}{(x+3)}=\frac{(2+5k)}{(x+2)}$.

If k = 4 in the above expression, then what is the value of x?

1. $\frac{-68}{23}$
2. $\frac{64}{21}$
3. $\frac{-64}{23}$
4. $\frac{68}{21}$

Q.

Solve the given inequality for real x:

Q.

Solve the equation $x-3\frac{1}{2}=4\frac{1}{3}$ by the systematic method.