6more than the quotient of a and 14 is greater than 30

a > 336

Step-by-step explanation:

Step 1: Subtract 6 from both sides.  a/14 + 6 - 6 > 30 - 6

Step 2: Simplify. a/14 > 24

Step 3: Multiply both sides by 24. 14a/14 > 24•14

Step 4: SImplify. a > 336

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.