What is the solution to the compound inequality 3x-8 less than or equal to -5 or 2x - 7 > 5

The solution for the compound inequality = ∅

Step-by-step explanation:

The given inequality:

3x - 8 ≤ -5  &  2x - 7 > 5

For the inequality 3x - 8 ≤ -5

3x - 8 ≤ -5    add 8 to both sides

3x  ≤ 3          divide both side by 3

x  ≤ 1

So, the solution of the inequality 3x - 8 ≤ -5 ⇒ x ∈ (-∞ , 1]

For the inequality 2x - 7 > 5

2x - 7 > 5      add 7 to both sides

2x > 12          divide both sides 2

x > 6

So, the solution of the inequality 2x - 7 > 5 ⇒ x ∈ (6 , ∞)

The solution for the compound inequality will be:

(-∞ , 1] ∩ (6 , ∞) = ∅

See the attached figure.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.