Mathematics, 29.07.2019 15:30 shatj960

Solve and graph the inequality. −x4−6≥−8 {"version": "1.1","math": "-x4-6≥-8"} question 6 options: x ≤ 8 x < –4 x > 8 x ≥ –8 save question 7 (5 points) question 7 unsaved solve and graph the inequality. 6.7 ≥−0.2x + 4.5 {"version": "1.1","math": "6.7 ≥-0.2x + 4.5"} question 7 options: x≥−11 {"version": "1.1","math": "x≥-11"} x≥−56 {"version": "1.1","math": "x≥-56"} x< −11 {"version": "1.1","math": "x< -11"} x < −56 {"version": "1.1","math": "x < -56"}

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Answer from: zahradawkins2007

1. x < –4
The question is a bit ambiguous since x4 can be interpreted as x^4. Since there was no option for −x^4−6 ≥ −8 , I will solve the question assuming that the original question was −x(4−6)≥−8
−x(4−6)≥−8 −x(-2)≥−8 ---> multiply x with -2 2x≥−8 > divide by 2x≥−4
2. x≥ -11
To solve inequality using > or < sign, you must be careful because multiplying the inequality with -1 will cause the sign to change direction(< will become > or vice versa). In this case, will solve the question without multiplying it with -1

6.7 ≥−0.2x + 4.5 > move -0.2x to left, 6.7 to right
0.2x ≥ 4.5 - 6.7
0.2x ≥ -2.2
x≥ -11

Answer from: myamiller558

Question 6: Option 1.

Question 7: Option 1.

Step-by-step explanation:

Question 6: The given inequality is

$-\frac{x}{4}-6\geq -8$

Add 6 on both sides.

$-\frac{x}{4}-6+6\geq -8+6$

$-\frac{x}{4}\geq -2$

Multiply both sides by -4. If we multiply or divide an inequality by a negative number, then we need to change the sign of inequality.

$-\frac{x}{4}\times (-4)\leq -2\times (-4)$

$x\leq 8$

Therefore, the correct option is 1.

Question 7: The given inequality is

$6.7\geq -0.2x+4.5$

Subtract 4.5 from both sides.

$6.7-4.5\geq -0.2x+4.5-4.5$

$2.2\geq -0.2x$

Divide both sides by 2.2.

$-11\leq x$

It can be rewritten as

$x\geq -11$

Therefore, the correct option is 1.

Solve and graph the inequality. −x4−6≥−8 {version: 1.1,math: -x4-6≥-8} question 6 options:

Answer from: Quest

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Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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