To determine if -46/11 makes x ≥ -4 inequality true, we substitute -46/11 for x in the inequality and check if the inequality is satisfied.
\[x \geq -4\]
\[\frac{-46}{11} \geq -4\]
Now we solve this inequality:
\[\frac{-46}{11} \geq -4\]
By multiplying both sides of the inequality by 11 (remembering to reverse the inequality sign since we are multiplying by a negative number), we get:
\[-46 \leq -44\]
This inequality is false. Therefore, -46/11 does not satisfy the inequality x ≥ -4.
does -46/11 make x ≥ -4 inequality true?
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