In a song competition, a participant has to score a total of at least 20 points in the first four rounds combined to move on to the fifth and final round. Curtis scored 2 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Curtis scored in each of the second, third, and fourth rounds if he earned a place in the finals? 2 + 3p ≤ 20
2p + 3 ≥ 20
2 + 3p ≥ 20
2p + 3 ≤ 20

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step-by-step explanation:

the answer is ! ?

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.

one triangle is 2.5 times bigger than the other triangle.