Solve for j -4j-6<1

$- 4 j - 6 < 1$

Move all terms not containing $j$ to the right side of the inequality.

Add $6$ to both sides of the inequality.

$- 4 j < 1 + 6$

Add $1$ and $6$ .

$- 4 j < 7$

Divide each term in $- 4 j < 7$ by $- 4$ and simplify.

Divide each term in $- 4 j < 7$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 j}{- 4} > \frac{7}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 j}{- 4} > \frac{7}{- 4}$

Divide $j$ by $1$ .

$j > \frac{7}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$j > - \frac{7}{4}$

The result can be shown in multiple forms.

Inequality Form:

$j > - \frac{7}{4}$

Interval Notation:

$(- \frac{7}{4}, \infty)$

Solve for j -4j-6<1

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