Question

−15x+4≤109 OR −6x+70>−2minus, 15, x, plus, 4, is less than or equal to, 109, start color #ed5fa6, start text, space, O, R, space, end text, end color #ed5fa6, minus, 6, x, plus, 70, is greater than, minus, 2 Choose 1 answer: Choose 1 answer:
(Choice A) A x\geq-7x≥−7x, is greater than or equal to, minus, 7.
(Choice B) B -7\leq x<12−7≤x<12minus, 7, is less than or equal to, x, is less than, 12.
(Choice C) C x<12x<12x, is less than, 12.
(Choice D) D There are no solutions .
(Choice E) E All values of xxx are solutions.

Answer 1

Answer:

Option E.

Step-by-step explanation:

The given inequalities are

$-15x+4\leq 109$

$-6x+70>-2$

We need to find the solution of given compound inequality.

Solve each inequality separately.

Solve first inequality:

$-15x+4\leq 109$

Subtract 4 from both sides.

$-15x\leq 109-4$

$-15x\leq 105$

Divide both sides by -15. If we multiply or divide an inequality by a negative number, then the sign of inequality is changed.

$x\geq -7$              .... (1)

Solve second inequality:

$-6x+70>-2$

Subtract 70 from both sides.

$-6x>-2-70$

$-6x>-72$

Divide both sides by -6.

$x$                   .... (2)

Form (1) and (2) we get

$x\geq -7\text{ or }x$

Therefore, the correct option is E.

Answer 2

Answer:

The correct answer is A

Step-by-step explanation: