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Popular >

(a+2)/4 <= (a-1)/3

Solution

\frac{a + 2}{4} \leq \frac{a - 1}{3}

Solution

a \geq 10

+1

Interval Notation

[10, \infty)

Solution steps

\frac{a + 2}{4} \leq \frac{a - 1}{3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(a + 2) \cdot 3 \leq 4 (a - 1)

Expand

(a + 2) \cdot 3 : 3 a + 6

Expand

4 (a - 1) : 4 a - 4

3 a + 6 \leq 4 a - 4

Move

6

to the right side

3 a \leq 4 a - 10

Move

4 a

to the left side

- a \leq - 10

Multiply both sides by

- 1

a \geq 10

Popular Examples

simplify (7+i)/(7-i)simplify

\frac{7 + i}{7 - i}

45-[4-2y-4(y+7)]=-4(1+3y)-[4-3(y+2)-2(2y-5)]

45 - [4 - 2 y - 4 (y + 7)] = - 4 (1 + 3 y) - [4 - 3 (y + 2) - 2 (2 y - 5)]

-1/2 (-12y+16)=5y-9

- \frac{1}{2} (- 12 y + 16) = 5 y - 9

a^{2} \leq 1

8 x - (2 - 3 x) = 18

Frequently Asked Questions (FAQ)

What is (a+2)/4 <= (a-1)/3 ?
The solution to (a+2)/4 <= (a-1)/3 is a>= 10