Question

Solve the inequality -2/11 j _< 8

Answer 1

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j.  Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

Answer 2

Answer:

$j\geq -44$

Step-by-step explanation:

The inequality given is:

$\frac{-2}{11}j\leq 8$

To solve the inequality, we must get the variable j by itself.

j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.

Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.

$\frac{-2}{11} --> \frac{-11}{2}$

Multiply both sides of the equation by -11/2.

$\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}$

$j\leq 8*\frac{-11}{2}$

Since we multiplied by a negative number, we must flip the inequality sign.

$j\geq 8*\frac{-11}{2}$

Multiply 8 and -11/2

$j\geq 8*-5.5$

$j\geq -44$

The solution to the inequality is: $j\geq -44$