Question

I will mark you brainiest if you can answer this
12 - 13 x ≥38

Answer 1

Explanation

• Given Inequality

$12 - 13x \geqslant 38$

• Solve the Inequality for x-term by making x as the subject.

Solving Inequality is almost the same as solving the equation.

$- 13x \geqslant 38 - 12 \\ - 13x \geqslant 26$

The problem is here. Some people might forget that when we move the negative coefficient to another side, we have to flip/swap or change the sign to opposite. That means we have to change from >= to <=

$x \leqslant \frac{26}{ - 13} \\ x \leqslant - 2$

• Answer Check by substituting x = -2 in the Inequality.

$12 - 13( - 2) \geqslant 38 \\ 12 + 26 \geqslant 38 \\ 38 \geqslant 38$

The Inequality is true for x = -2 and that means it is also true when x is lesser than - 2.

• Substitute x = -3

$12 - 13( - 3) \geqslant 38 \\ 12 + 39 \geqslant 38 \\ 51 \geqslant 38$

Notice that if we substitute the number that are lesser or equal to -2, the Inequality will be true.

Answer

$\large \boxed{x \leqslant - 2}$