Question

category: homework current score: 70.5/100 -4x -7 < 9 and -7x -5 < -12 solution: enter your answer type in dne if the solution does not exist. submit answer attempts: 1/3 find this question difficult? do you know you can practice another version of th

Explanation:

Step1: Solve \(-4x - 7 < 9\)

Add 7 to both sides: \(-4x - 7 + 7 < 9 + 7\) → \(-4x < 16\)
Divide both sides by -4 (reverse inequality): \(x > -4\)

Step2: Solve \(-7x - 5 < -12\)

Add 5 to both sides: \(-7x - 5 + 5 < -12 + 5\) → \(-7x < -7\)
Divide both sides by -7 (reverse inequality): \(x > 1\)

Step3: Find intersection

The solutions are \(x > -4\) and \(x > 1\). The intersection is \(x > 1\) (since \(x > 1\) satisfies \(x > -4\)).

Answer:

\(x > 1\)