Question

-4(x-7) > = ( больше или равно) -3-9x

Answer 1

Ответ:

Объяснение:

-4(x-7) ≥ -3-9x

-4x+28≥-3-9x

-4x+9x≥-3-28

5x≥-31

x≥-31/5

x≥ -6,2

x∈[-6,2; +∞)

Answer 2

To solve the given inequality $-4(x - 7) \geq -3 - 9x$, you can start by distributing the $-4$ on the left side:

$-4x + 28 \geq -3 - 9x$.

Next, gather all the $x$ terms on one side and the constant terms on the other side. Add $9x$ to both sides and subtract $28$ from both sides:

$-4x + 9x \geq -3 - 28$,

$5x \geq -31$.

Finally, divide by $5$, remembering to reverse the inequality sign when dividing by a negative number:

$x \leq -\frac{31}{5}$.

So, the solution to the given inequality is $x \leq -\frac{31}{5}$.