In mathematics, the nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + + 1/n. so, the first harmonic number is 1, the second is 1.5, the third is 1. and so on. assume that n is an integer variable whose value is some positive integer n. assume also that hn is a variable whose value is the nth harmonic number. write an expression whose value is the (n+1)th harmonic number.

$6.42

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.