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Popular >

-6+4(9r-5)<= 2r+3-3r

Solution

- 6 + 4 (9 r - 5) \leq 2 r + 3 - 3 r

Solution

r \leq \frac{29}{37}

+2

Interval Notation

(- \infty, \frac{29}{37}]

Decimal Notation

r \leq 0.78378 \dots

Solution steps

- 6 + 4 (9 r - 5) \leq 2 r + 3 - 3 r

Group like terms

- 6 + 4 (9 r - 5) \leq 2 r - 3 r + 3

Add similar elements:

2 r - 3 r = - r

- 6 + 4 (9 r - 5) \leq - r + 3

Expand

- 6 + 4 (9 r - 5) : 36 r - 26

36 r - 26 \leq - r + 3

Move

26

to the right side

36 r \leq - r + 29

Move

r

to the left side

37 r \leq 29

Divide both sides by

37

r \leq \frac{29}{37}

Popular Examples

\frac{2 y}{3} + y = 15

\frac{x}{2} + 2 = \frac{x}{4} - 1

simplify sqrt(175)+sqrt(243)-sqrt(63)-2sqrt(75)simplify

175 + 243 - 63 - 275

factor p^2+30p+225 factor

p^{2} + 30 p + 225

factor 2a^2b+6ab^2 factor

2 a^{2} b + 6 a b^{2}

Frequently Asked Questions (FAQ)

What is -6+4(9r-5)<= 2r+3-3r ?
The solution to -6+4(9r-5)<= 2r+3-3r is r<= 29/37