Question

Solve the compound inequality
7>-4x+6 or 12≤-3x+5

Answer 1

solve the two inequalities separately
\[7>-4x+6\]
\[4x>6-7\]
\[4x>-1\]
\[x>-\frac{1}{4}\]

Answer 2

.

Answer 3

or
\[12\geq -3x+5\]
\[7\geq -3x\]
\[3x\geq -7\]
\[x\geq -\frac{7}{3}\]

Answer 4

now since your question asks for OR, you have
\[x>-\frac{1}{4}\] OR
\[x\geq -\frac{7}{4}\] so take the biggest set possible which means \
\[x\geq -
\frac{7}{4}\]

Answer 5

so i have a question there are some options does the U mean or?