-4m+21(m-1)<= 15m+2(m-1) — step-by-step solution

Let's solve in

ℝ

- 4 m + 21 \cdot (m - 1) \leq 15 m + 2 \cdot (m - 1)

- 4 m

+ 21 \cdot (m - 1)

- 15 m

- 2 \cdot (m - 1) \leq 0

ⓘ Like terms are grouped by adding their coefficients:

- 4 m - 15 m

-19 m

21 \cdot (m - 1) - 2 \cdot (m - 1)

19 \cdot (m - 1)

- 19 m + 19 \cdot (m - 1) \leq 0

ⓘ Expand by multiplying each term inside the parentheses:

19 \cdot (m - 1)

19 m - 19

- 19 m + 19 m - 19 \leq 0

ⓘ Like terms are grouped by adding their coefficients:

- 19 m + 19 m

0

0 - 19 \leq 0

ⓘ Adding 0 changes nothing:

0 - 19

-19

-19 \leq 0

▶Solution obtained:

m \in ℝ