SOLUTION: a. |x| <5 b. |x| = 5 c. |2x-3| <7 d. |3x+2| = 5

Algebra.Com
Question 61297: a. |x| <5
b. |x| = 5
c. |2x-3| <7
d. |3x+2| = 5

Answer by joyofmath(189)   (Show Source): You can put this solution on YOUR website!
a. |x| <5
b. |x| = 5
c. |2x-3| <7
d. |3x+2| = 5
-----------------------------------------------------------------
a. -5 < x < 5
b. x = -5 or x = 5
c. -7 < 2x-3 < 7
Do the left side of the inequality: -7 < 2x-3, then -4 < 2x or -2 < x.
Do the right side of the inequality: 2x-3 < 7, then 2x < 10 or x < 5.
So, put the left and right sides together and you get .
d. 3x+2 = 5 or 3x+2 = -5
The first equality: 3x+2 = 5 then x=1.
The second equality: 3x+2 = -5 then 3x = -7 or x = -7/3.

RELATED QUESTIONS

f(x) = 3x-5 / x+2 f ^ -1 (x) = a) 2x+5 / x-3 b) -2x-5 / x-3 (answered by jim_thompson5910)
simplify: x^2(2x-5)^2+x(5-2x)^3 Possible answers: a. x(2x-5)^2 (5-x) b.... (answered by josmiceli)
solve A) -7a+17=-18 B) 3/4=x/2+5/8 C) x-5>-4 D)... (answered by checkley77)
a.(a b^2) ^5 simplify b. (2x)^2 x (2x)^4 simplify c.(m^3 n^2) ^3 d. 2^5 x... (answered by haileytucki)
Solve for X: 5(X + 2) – 7 (2X – 3) = 22 A) -1 B) -3/2 C) 3/2 D) 1 (answered by checkley71)
Solve for x (-2 x/7) - 3 = -2(x 7) a. -21/5 b. 5 c. -3 d.... (answered by chndnbl)
Which illustrate a polynomial equation? a. 2x^-3 + 5x^2 = 0 b. sqrt6x^5 + sqrt7x^3 =... (answered by josgarithmetic,math_tutor2020)
R(x) = x^3 - 2x^2 - 7 / x^6 - 2x^5 + 6x^2 - 4, how many vertical asymptotes are possible? (answered by stanbon)
Find the sum of a, b, c, and d if (x^3 - 2x^2 + 3x + 5)/(x + 2) = ax^2 + bx + c +... (answered by josgarithmetic,timofer)