Hector Dindo (0.5)*-1 > (0.25)¯x-2 (0.5)*-1 > (0.5)2(-x-2) х — 1>-2х —4 (0.5)*-1 > (0.25)-*-2 (0.5)*-1 > (0.5)²(-x-2) x - 1<-2x – 4 3x > -3 Зx < -3 x > -1 or (-1,+∞) x < -1 or (-o, -1) 6. Have you noticed any difference in the solutions? What is it? 7. Who used the property for exponential inequality? How did he use it? 8. Taking Hector's solution, can 0 be a value of x? 9. Considering Dindo's solution, will -2 make the inequality correct?

Q: Simplify (5 . 2 - 32) / [32 - (-2)]2

A:

Q: 2 (b) ₁² ( + 6x) dx X

A: ∫xndx=xn+1n+1+c∫14(2x+6x)dx=2∫141xdx+6∫14xdx

Q: (-5a^-2b^4)^-3 simplify only with positive exponents

A: Given : -5a-2b4-3

Q: 1-2(3t)/(3t)1/2

A: 1-2(3t)/(3t)1/2  =   = 1-2(3t)(3t)-1/2    = 1-2(3t)1-1/2    = 1-2(3t)1/2…

Q: Write 3.4 8 with rational exponents 9x(i) yz² 9x() yz? 2x(금) yz? 3x(:) yz²

A:

Q: The field of view of a microscope is (4)(10-4) meter. If a single cell organism occupies 1/5 of the…

A: To find the length

Q: 71. (2x) (2x)3

A: Given problem is

Q: 3x 9. Subtract and simplify: х2-2х-3 x2-2x-3

A:

Q: (32-4/5)(16-2/4)

A: We know 3215=224=161614=222=4 am=1a-m

Q: Simplify

A: To simplify

Q: x + 5 > x-1

A: We need to solve inequality.

Q: -7/6 - (-2/9) =-25/18

A: Consider L.H.S. and Solve by taking LCM of denominators.LCM of denominators (6,9) = 18

Q: 8. Multiply the following: a. (x3)(x2) = b. (x7)(x10) = c. (2s4)(-6s5) = d. (-30x)(3x) =

A:

Q: 1/3(12x-6)=4x-9

A: the given expression is 1312x-6=4x-9.

Q: ((1÷x)+3)^0.5

A: Solve 1÷x+30.5

Q: simplify 3(1 + x)A - x(1 + x)-2/3 83. (1 + x):/ (7 – 3x)2 +x(7 – 3x)-1/2 84. 7- 3x

A: We have to  simplify given expression.

Q: 5) Simplify: 10x ³/4 x 5x1/4x1/6 3/4-1/12

A: According to question,Given expression,10 x34x-1125x-14x-16

Q: what is 2x1/2x 3/4 =

A:

Q: 7)^-2(4s/6t)^-2

A:

Q: [x" csc (x) dx -1

A:

Q: 2/4/5 divided by 2/1/3

A:

Q: combine and simplify x2 + 2x-3/x-5  *  x-3/x-1

A: Given,

Q: Simplity each of the following. (-21*)' (x+2y)(x-2y) 2.x -8x* (6x²)(-3x³)

A: Given query is to simplify the expression.

Q: (-4)^2 x (7-9)^2 + (3+4)^2=

A:

Q: (ii) Evaluate L-¹ {,2²9}. [2

A: Sol:- L-12s2+9 =L-123·3s2+32

Q: ∫xdx/9+x4

A:

Q: simplify completely 1/x -4/x2 /1-16/x2

A: First of all, consider the given expression.Make two assumptions.

Q: -7/5 divided by (1/2 - (-1/4))

A: -75÷12--14 To simplify it we apply PEMDAS order of operation first simplify the parenthesis part

Q: 1/2×3(-2)×(-5/7)

A:

Q: 2x² - 8x- 90 = 0 %3D

A: