PLEASE PLEASE HELP ME

9514 1404 393

  (B)

Step-by-step explanation:

x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.

The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.

_____

Additional comment

I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places