4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False] Prove this using algebra - Show work].

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

(5x + 1 - (x - 2))

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

answer: 177/8

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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