Linear inequality
5(2x+1)<12x-3

Let's solve your inequality step-by-step.

5(2x+1)<12x−3

Step 1: Simplify both sides of the inequality.

10x+5<12x−3

Step 2: Subtract 12x from both sides.

10x+5−12x<12x−3−12x

−2x+5<−3

Step 3: Subtract 5 from both sides.

−2x+5−5<−3−5

−2x<−8

Step 4: Divide both sides by -2.

−2x −2 < −8 −2 x>4

x>4

(Pls mark as brainliest) (:

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: