Exercise 3: Solve the inequalities. a) 3x > 21 b) 2x + 1 < 5 c) 1-x < 2

Q: 2- Solve the inequalitis and show the solution sets on the real line (9 – > ( -

A: Given: 2x-12 ≥7x+7645x-2 &lt; 13x-6 To solve: The given inequalities and to show the solution set on…

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Q: For Exercise, solve the inequalities. (1 – x)(3x + 5)? (r – 3)*

A: We will check the signs of each factor of the left side. Because it has even degree 2   Because it…

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Q: In Exercises 119–122, solve theinequality for x. \text { 119. } e^{2 x+1}&gt;3

A: Inequality is a mathematical expression which shows relationship between two number or algebraic…

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

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Q: For Exercise, solve the inequalities. 3 - x 2 4 x + 2

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Q: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

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Q: Find all the real numbers x which satisfy the inequality 1 7— 2х (2л — 7)2 and carefully sketch the…

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Q: Use the triangle inequality to establish the following inequalities: (b) ||c| – |d|| \p - 기 ()…

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Q: 4. Solve the inquality and Show the solution set on the real line : |2x - 3|<1

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Q: A rectangle's length , x, is 2 meters greater than its width.  If the perimeter of the rectangle is…

A: Let the legth of the rectangle is x  And widht is y then according to the question x=2+y Or y=x-2

Q: Use the graphical method to solve the inequality. 5x2 + 3x ≥ 3x2 + 2

A: We have been given the inequality 5x2 + 3x ≥ 3x2 + 2.

Q: solve the inequalities  y≤5-3x and y+19≥x2-8x

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Q: Haiqal forms the cardboard into a right -angled triangle having the length of the hypotenuse  (x +…

A: We have given the length of sides asHypotenuse =(x+4) cmbase = x cmheight =(2x-y) cmand the…

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Q: 4. In AABC, AB = 7, BC leAC 11. Order the length of the sides from shortest to longest. Express your…

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Q: Express the interval in terms of inequalities, and then graph the interval. [2, ∞]

A: Given,          The interval is [ 2,∞ ) .

Q: 2. List down the properties of inequalities and absolute values. By using the properties, solve the…

A: Solve the inequalities

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A: Ans. Let the length of enclosure is x &amp;             width of enclosure is y

Q: Solve the inequalities and show the sol ution sets on the real line. 2x 7 2 7x + - 2) <r - 6) 4 5 (x…

A: 1. 2x-12≥7x+76⇒2x-12+12≥7x+76+12    Adding 12 on both sides⇒2x≥7x+53⇒2x-7x≥7x+53-7x…

Q: A triangle has two sides of length 16.7 and 7.4. What compound inequality describes the possible…

A: Given Two sides of triangle is 16.7 and 7.4   To determine compound inequality for third side x

Q: For Exercise, solve the inequalities. 4 - 2x

A: Given

Q: Express the inequality as an interval, and sketch its graph.

A: Given inequality - -3 ≤ x &lt; 5It means that, x is equal to -3 and greater than -3.Also, x is less…

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Q: 12 (2x+5 13 66 12 15

A: Given:

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Q: 7) Solve using an interval table. x +5 x2 3/4 AI

A: Given- x+5x2≥34 To solve- The above inequality problem using interval table. Concept Used- The…

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Q: Express the interval in terms of inequalities, and then graph the interval. [-2, 6)

A: The interval [a,b) is called semi-open or semi-closed interval. [a,b) =x∈ℝ: a≤x&lt;b

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Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: A racetrack is in the shape of an elli0se, 280 feet long and 50 feet wide. What is the width 10 feet…

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Q: For Exercise, solve the inequalities. 10 2 x + 2 x + 2

A: We have to solve inequalities 10x+2≥2x+2 Solving given inequality,…

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Q: The perimeter of a yield sign in the shape of an isosceles triangle is 22 feet. If the shortest side…

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Q: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

A: Given Statement:- Sum of lengths of any two sides of a triangle is greater than the length of the…

Q: The point (0, 0) is a solution to which of these inequalities?

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Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: consider the equation

Q: For Exercise, solve the inequalities. 3 - x x + 2

A: The given inequality is 3-xx+2≥4