What is -21-(2a-7)<= 3a+43+a-3 ?

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-21-(2a-7)<= 3a+43+a-3

- 21 - (2 a - 7) \leq 3 a + 43 + a - 3

a \geq - 9

Interval Notation

[- 9, \infty)

Solution steps

- 21 - (2 a - 7) \leq 3 a + 43 + a - 3

Group like terms

- 21 - (2 a - 7) \leq 3 a + a + 43 - 3

Add similar elements:

3 a + a = 4 a

- 21 - (2 a - 7) \leq 4 a + 43 - 3

Add/Subtract the numbers:

43 - 3 = 40

- 21 - (2 a - 7) \leq 4 a + 40

Expand

- 21 - (2 a - 7) : - 2 a - 14

- 2 a - 14 \leq 4 a + 40

Move

14

to the right side

- 2 a \leq 4 a + 54

Move

4 a

to the left side

- 6 a \leq 54

Multiply both sides by

- 1

6 a \geq - 54

Divide both sides by

6

a \geq - 9

2 k (k + 15) = 15

X^{3} - 8

f = 4 (- 2) - 3

\frac{1}{2} \cdot 11

7 (- 2) - 2 (5) = 13

What is -21-(2a-7)<= 3a+43+a-3 ?
The solution to -21-(2a-7)<= 3a+43+a-3 is a>=-9