2 13 (a) Solve: p- p+2 =13 Hence solve for x if: x-4x-1x -4x+1 (b) hot P=3x-6x+12 is positive for all values of utate for which values of x will

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Why is it a problem to multiply both sides of the inequality by
21
=13
2
Solve: p-
ュ-4x-1-x+1-13
(a)
p+2
6.
x - 4x + 1
Hence solve for x if: x-4x-1--
(b)
(a)
(b)
V3x-6x+12 be real.
7.
For which values of x will Q=Vx-5x+6 be non-real2
8.
2+2 yx = 3y and 2y-x=6
9.
Solve for x and y:
Solve for x if Vx-2 =x-4. Verify your results.
x-1
10.
11.
Consider the inequality:
x+3
(a)
LCD = x+3?
Why is it acceptable to multiply both sides by (x+3)²2
By multiplying both sides by (x+3)“ , solve the inequality.
(b)
(c)
OME CHALLENGES
A new design for a rectangular table
place has been implemented by a company.
Refer to the diagram below for more detail.
The shaded area below is shaded with a
multi-coloured pattern. The length of the
place mat remains fixed at 100mm, while
he width of the mat can vary in length.
Show that the
Transcribed Image Text:Why is it a problem to multiply both sides of the inequality by 21 =13 2 Solve: p- ュ-4x-1-x+1-13 (a) p+2 6. x - 4x + 1 Hence solve for x if: x-4x-1-- (b) (a) (b) V3x-6x+12 be real. 7. For which values of x will Q=Vx-5x+6 be non-real2 8. 2+2 yx = 3y and 2y-x=6 9. Solve for x and y: Solve for x if Vx-2 =x-4. Verify your results. x-1 10. 11. Consider the inequality: x+3 (a) LCD = x+3? Why is it acceptable to multiply both sides by (x+3)²2 By multiplying both sides by (x+3)“ , solve the inequality. (b) (c) OME CHALLENGES A new design for a rectangular table place has been implemented by a company. Refer to the diagram below for more detail. The shaded area below is shaded with a multi-coloured pattern. The length of the place mat remains fixed at 100mm, while he width of the mat can vary in length. Show that the
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