Basic of Mathematics

The inequality representing the following graph is

The solution for the following system of inequalities $x+5 \leq 4(x-1) ; 3-2 x>-7$ on a real number line

"A storage room must be kept at a temperature (T) such that triple the temperature is at least $15^{\circ}$ C, but the temperature plus 8 is not more than $20^{\circ}$ C. What is the range of safe temperatures?"

What is the sum of the binary numbers $(101101101)_2$ and $(100011)_2$?

If $1-\log_{10}2=\log_{10}(5^x+4^x+3^x+2^x+1)$, then what is a value of $x$ ?

If $|\mathrm{a}|$ denotes the absolute value of an integer, then which of the following are correct? $|\mathrm{ab}|=|\mathrm{a}||\mathrm{b}|$ $|a+b| \leq|a|+|b|$ $|a-b| \geq||a|-|b||$ Select the correct answer using the…

What is $\log _{81} 243$ equal to?

What is the value of $\log _9 27+\log _8 32$ ?

How many two-digit numbers are divisible by 4 ?

If $\log _3\left[\log _3\left[\log _3 x\right]\right]=\log _3 3$, then what is the value of $x$ ?

For a parallelogram $A B C D$, if $L$ and $M$ are mid-points of $B C$ and $C D$, then $\mathbf{A L}+\mathbf{A M}=$

$\frac{x-1}{3 x+4} < \frac{x-3}{3 x-2}$ holds, for all $\mathrm{x}$ in the interval