Answer:
Explanation:
To find the value of m<4, we can solve the given system of equations using substitution or elimination.
Let's use substitution:
1. Start with the equation m/8 = 2x + 4.
2. Multiply both sides of the equation by 8 to eliminate the denominator:
m = 16x + 32.
3. Substitute this value of m into the equation m<4 = 6x - 16:
16x + 32 < 4 = 6x - 16.
4. Simplify the inequality:
16x + 32 < 6x - 16.
5. Subtract 6x from both sides and add 16 to both sides:
16x - 6x < -16 - 32.
6. Simplify:
10x < -48.
7. Divide both sides by 10:
x < -4.8.
Therefore, the value of m<4 is determined by the value of x, which is less than -4.8.