Question

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

–10
–5
5
10

Answer 1

3(x-4)$\geq 5x+2$
Opening brackets;
3x-12$\geq$5x+2
Putting like terms together;
3x-5x$\geq 2+12$
-2x$\geq 14$
x$\leq -7$

Answer 2

3(x – 4) ≥ 5x + 2

3*x - 3*4 ≥ 5x + 2

3x - 12 ≥ 5x + 2

3x - 5x ≥ 2 + 12

-2x ≥ 14               

x ≤ 14 / -2      When dividing by a -ve number the sign reverses.

x ≤ -7