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3 years ago

Solve the inequality 2x + 8 < 5x − 4.

Mathematics

1 answer:

Jobisdone [24]3 years ago

3 0

The answer should be X>4

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

2*x+8-(5*x-4)<0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

-3x + 12 = -3 • (x - 4)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by -3

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Add 4 to both sides

x > 4

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Find the area of the shape below 11 ft 7 ft 10 ft 8 ft 2 ft

dimaraw [331]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

$\qquad \sf \dashrightarrow \:11 \times 10$

$\qquad \sf \dashrightarrow \:110 \: \: ft {}^{2}$

Area of smaller rectangle :

$\qquad \sf \dashrightarrow \:7 \times 8$

$\qquad \sf \dashrightarrow \:56 \: \: ft {}^{2}$

Area of composite figure :

$\qquad \sf \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2}$

$\qquad \sf \dashrightarrow \:54 \: {ft}^{2}$

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2 years ago

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Step-by-step explanation: